Pharmacy Calculation for Technicians: Seventh Edition

Appendix A

Problem Set and Find Solutions Answers

Chapter 1

1.1 Problem Set

10
5
624

Work:
2,050

Work:
48

Work:
XVII

Work:
LXVII

Work:
MCMXCV

Work:
XIII

Work:
CCCXXVII

Work:
XC

Work:

90 = 100 − 10 = XC
LXXV

Work:
26.5

Work:
28

Work:
68

Work:
14

Work:
7.5 tablets

Work: VIIss = 5 + 1 + 1 + ½ = 7.5 tablets
1. 10 grains
2. 1 tablet daily (10 grains)
3. 100 tablets
1. 1 tablet
2. 9 days
  
  Work: XXVII = 10 + 10 + 5 + 1 + 1 = 27 tablets/3 tablets per day = 9 days
1. 5 tablets daily
  
  Work: 2 tablets (in am) + 1 tablet (at lunch) + 2 tablets (at dinner)
2. 150 tablets
  
  Work: CL = 100 + 50 = 150

1.2 Problem Set

1
2
5
15
20
3
5
4
12
100
½
⅜
¼
, or 1
, or ⅘
1

Work: Solution 1.

Step 1. Create common denominators:

Step 2. Add the numerators:

Step 3. Simplify:

Solution 2.

Step 1. Create common denominators:

Step 2. Add the numerators:

Step 3. Simplify:
Work: Step 1. Create common denominators:

Step 2. Add the numerators:

Step 3. Simplify:
Work: Step 1. Create common denominators:

Step 2. Subtract the numerators:
Work: Step 1. Create common denominators:

Step 2. Subtract the numerators:
¼
2 ⅕
⅖
3 tablets

Work Step 1. Create common denominators:

¼ tablets, ½ tablets × = tablets, 1 ½ tablets = tablets × = tablets, ¾ tablets

Step 2. Add the numerators:

¼ tablets + tablets + tablets + ¾ tablets = tablets

Step 3. Simplify:

tablets = 3 tablets
2 tablets containing grain in each tablet

Work:

Because the denominator is smaller, grain > grain
1,500 containers

Work: 375 grains × 1 unit dose/¼ grain = 375 × 4 = 1,500 containers
17 bags

Work: Step 1. Create common denominators:

Step 2. Add the numerators:

Step 3. Simplify:

Sugar is sold in bags of 2 lb/bag; 2 bags would = 4 lb sugar (2 × 2lb = 4lb), and we need lb more than that, so 3 bags are needed.
1 bag

Work: Since we need 4 lb sugar (problem 40), one 5 lb bag will provide the sugar needed.

1.3 Problem Set

784.36
0.9
0.2

Work:
0.05

Work:
4.5

Work:
0.3

Work:
0.005

Work:
0.002

Work:
1.8

Work: or
0.04

Work: = 1 ÷ 25 = 0.04
0.008

Work: = 1 ÷ 125 = 0.008
4.1
0.6

Rationale: 0.50 0.56 0.60
2.02

Rationale: 2.02 2.12 2.10
0.017

Rationale: 0.160 0.167 0.017
0
6
4
hundreds
hundredths
housandths
ones
tenths
1.88
2.729
14.373
3.0983
11.998
467.42
450
1.846
1.333
3.87
0.14
0.08
0.196
0.049
34.9
1.4
1. 0.75 mg/dose
  
  Work: 3 tablets/dose × 0.25 mg/tablet = 0.75 mg/dose
2. 2.25 mg/day
  
  Work: 0.75 mg/dose × 3 doses/day = 2.25 mg/day
3. 126 tablets
  
  Work: 3 tablets/dose × 3 doses/day × 14 days = 126 tablets
4. no; the patient will need 26 more tablets
  
  Work: 126 tablets − 100 tablets = 26 tablets
5. alprazolam 0.25 mg 100 tablets/$14.95
  
  Work: $14.95 + $7.59 = $22.54
1. 1 mg/dose
  
  Work: 0.25 mg/tablet × 4 tablets/dose = 1 mg/dose
2. $21.825, rounded to $21.83
  
  Work: $17.46 × 1.25 = $21.825, rounded to $21.83
3. $11.935, rounded to $11.94
  
  Work: $23.87 × 0.5 = $11.935, rounded to $11.94
4. 16.7, or 16 full days
  
  Work: 50 tablets × 1 day/3 tablets = 16.7, or 16 full days
1. 8.33 bottles, rounded to 8 bottles
  
  Work: 1,000 mL × 1 bottle/120 mL = 8.33 bottles, rounded to 8 bottles
2. 40 mL
  
  Work: 120 mL/bottle × 8 bottles = 960 mL; 1,000 mL − 960 mL = 40 mL
91.5 mL, rounded to 92 mL

Work: 8.5 mL/dose × 2 doses/day × 2 days = 34 mL; 5.75 mL/dose × 2 doses/day × 5 days = 57.5 mL; 34 mL + 57.5 mL = 91.5 mL, rounded to 92 mL
1. $47
2. $15
3. $4
1. $70.08
2. $111.64
1. 0.89
2. 0.85
3. 0.92

1.4 Problem Set

68,000 (move decimal point 4 places to the right)
1,870,000 (move decimal point 6 places to the right)
10,300,000 (move decimal point 7 places to the right)
0.00084 (move decimal point 4 places to the left)
0.00768 (move decimal point 3 places to the left)
0.00006239 (move decimal point 5 places to the left)
3.29 × 10⁻⁹
3.9 × 10¹¹
3.8 × 10⁻³
5.2 × 10¹⁶
3.779 × 10⁶
2.02 × 10⁻¹⁰
6
2
2
3
1
4
3
1
8
1
42.8
10.1
0.0427
18.4
0.00392
0.35; 2 significant figures
0.06; 1 significant figure
1.99; 3 significant figures
0.01; 1 significant figure
1.03; 3 significant figures
64
30
163
1. 1.784 g, which should be rounded to 1.78 g
2. 3.2 g
3. 0.06 g
  
  Work: 3.2 g + 1.78 g + 2.46 g + 5.87 g = 13.31 g; 13.31 g/0.125 g = 106.48 capsules; 0.48 of a capsule × 0.125 g = 0.06 g
1. 21.65 mg × 45 doses = 974.25 mg
2. 5 significant figures

1.5 Problem Set

estimated value: $7; actual value: $6.38
estimated value: $12; actual value: $12.25
estimated value: $5; actual value: $5.19
estimated value: $82; actual value: $81.71
estimated value: $50; actual value: $50.58
estimated product: 56,000; actual product: 52,060.8
estimated product: 1,400; actual product: 1,407.3
estimated product: 9; actual product: 8.976

Work: Round 598.4 to 600 and round 0.015 to 15, ignoring the 3 decimals. Multiply the rounded numbers: 600 × 15 = 9,000. Replace the three decimals. Estimated product: 9; actual product: 8.976
estimated product: 500; actual product: 444.1068

Work: Round 4,569 to 5,000 and round 0.0972 to 1, ignoring the one decimal. Multiply the rounded numbers: 5,000 × 1 = 5,000. Replace the one decimal. Estimated product: 500; actual product: 444.1068
estimated product: 120,000; actual product: 111,294
estimated product: 9,000; actual product: 11,402.3
estimated quotient: 10; actual quotient: 10.28
estimated quotient: 300; actual quotient: 321.70
estimated quotient: 75; actual quotient: 73
estimated quotient: 200; actual quotient: 191.87
estimated quotient: 10; actual quotient: 8.79
estimated cost: $19; actual cost: $19.10

Work: (food dye, $2 cost estimate) + (sugar, $8 cost estimate) + (baking soda, $1 cost estimate) + cherry flavoring, $2 cost estimate) + (bleach, $2 cost estimate) + (distilled water, $4 cost estimate) = $19 cost estimate; actual cost: $19.10
estimated SWFI 17 mL; 30 mL vial

Work: 3 mL + 8 mL + 2 mL + 4 mL = 17 mL. Therefore, the 30 mL vial is needed.
estimated fluid intake: 2,000 mL

Work: 1,720 mL IV fluids + 150 mL juice + 130 mL coffee = 2,000 mL
estimated parenteral fluid intake: 4,300 mL

Work: 800 mL + 200 mL + 300 mL + 3,000 mL = 4,300 mL

Chapter 1 Find Solutions

1 tablet
estimated number of tablets: 40-45
47 tablets
2,000 mg

Work: 4 tablets × 500 mg/tablet = 2,000 mg
250 mg

Work: 0.5 tablet × 500 mg/tablet = 250 mg
2,250 mg

Work: 2,000 mg + 250 mg = 2,250 mg
3½ tablets

Work: 4,000 mg – 2,250 mg = 1,750 mg; 1,750 mg × 1 tablet/500 mg = 31/2 tablets
The dosing spoon should be filled to ¾ tsp or 3.75 mL.
½ tablet
1 tablet
2.5 mg

Work: 5 mg/tablet × ½ tablet = 2.5 mg
21 tablets
4 tablets

Work: 1 tablet/dose × 4 doses/week = 4 tablets
0.500 mg

Work: 125 mcg/tablet × 4 tablets/week = 500 mcg = 0.500 mg
51 tablets
17 tablets

Chapter 2

2.1 Problem Set

¾
2:3
6:8 = 3:4
5:10 = 1:2
1:9
1:10,000
30 mg:1 capsule or 1 capsule:30 mg
100 mg:1 capsule or 1 capsule:100 mg
250 mg:5 mL or 5 mL:250 mg
90 mg/3 capsules

Work: x mg/3 capsules = 30 mg/1 capsule; x mg = 90 mg
200 mg/2 capsules

Work: x mg/2 capsules = 100 mg/1 capsule; x mg = 200 mg
750 mg/15 mL

Work: x mg/15 mL = 250 mg/5 mL; x mg = 750 mg
10 g; 1,000 mL; 1 g

Work: x g/100 mL = 10 g/1,000 mL; x = 1 g
1 g, 100 mL, 5 g

Work: x g/500 mL = 1 g/100 mL; x = 5 g
1 g, 250 mL, 4 g

Work: x g/1,000 mL = 1 g/250 mL; x = 4 g
1 g; 1,000 mL; 0.05 g

Work: x g/50 mL = 1 g/1,000 mL; x = 0.05 g

2.2 Problem Set

86%

Work: = 0.857, rounded to 0.86; 0.86 × 100 = 86%
42%

Work: = 0.416, rounded to 0.42; 0.42 × 100 = 42%
25%

Work: ¼ = 0.25; 0.25 × 100 = 25%
67%

Work: ⅔ = 0.666, rounded to 0.67; 0.67 × 100 = 67%
5%

Work: = 0.05; 0.05 × 100 = 5%
66.7%

Work: ⅔ = 0.6667, rounded to 0.667; 0.667 × 100 = 66.7%
32.3%

Work: = 0.3225, rounded to 0.323; 0.323 × 100 = 32.3%
0.4%

Work: = 0.004; 0.004 × 100 = 0.4%
0.0%

Work: = 0.0001, rounded to 0.000; 0.000 × 100 = 0.0%
16.7%

Work: ⅙ = 0.1666, rounded to 0.167; 0.167 × 100 = 16.7%
20 × 0.05 = 1
60 × 0.20 = 12
63 × 0.19 = 11.97
70 × 1.10 = 77
50 × 0.002 = 0.1
1:3, 0.33
, 0.025
50%, 1:2
1%,
, 9:10
⅔ or 2:3 or 67:100
0.2%, 0.002
or , 0.09:20 or 9:2,000
, 0.05
1:5, 0.2
0.01% solution

Work: = 0.0001 × 100 = 0.01% solution
5% solution

Work: = 0.05 × 100 = 5% solution
4% solution

Work: = 0.04 × 100 = 4% solution
0.125% solution

Work: = 0.00125 × 100 = 0.125% solution
10% solution

Work: = 0.1 × 100 = 10% solution

2.3 Problem Set

5
0.07843, rounded to 0.08
4.5
0.1
0.16
5.7692, rounded to 5.77
54.4
242.6666, rounded to 242.67
25.9411, rounded to 25.94
16
44.3571, rounded to 44.36
21.3870, rounded to 21.39
78.3333, rounded to 78.33
10.7307, rounded to 10.73
77.3636, rounded to 77.36
28.35%

Work: x%/100 = 72%/254; x = 28.3464%, rounded to 28.35%
48.89

Work: x/100% = 44/90%; x = 48.8888, rounded to 48.89
227.27

Work: x/100% = 100/44%; x = 227.2727, rounded to 227.27
121.43

Work: x/100% = 34/28%; x = 121.4285, rounded to 121.43
54.44%

Work: x%/100 = 24.5%/45; x = 54.4444%, rounded to 54.44%
0.1 g

Work: x g/100 mg = 1 g/1,000 mg; x = 0.1 g
0.247 g

Work: x g/247 mg = 1 g/1,000 mg; x = 0.247 g
1.42 g

Work: x g/1,420 mg = 1 g/1,000 mg; x = 1.42 g
0.495 g

Work: x g/495 mg = 1 g/1,000 mg; x = 0.495 g
3.781 g

Work: x g/3,781 mg = 1 g/1,000 mg; x = 3.781 g
349 mg

Work: x mg/0.349 g = 1,000 mg/1 g; x = 349 mg
1,500 mg

Work: x mg/1.5 g = 1,000 mg/1 g; x = 1,500 mg
83 mg

Work: x mg/0.083 g = 1,000 mg/1 g; x = 83 mg
10 mg

Work: x mg/0.01 g = 1,000 mg/1 g; x = 10 mg
2,100 mg

Work: x mg/2.1 g = 1,000 mg/1 g; x = 2,100 mg
2.9 kg

Work: x kg/6.3 lb = 1 kg/2.2 lb; x = 2.863 kg, rounded to 2.9 kg
6.8 kg

Work: x kg/15 lb = 1 kg/2.2 lb; x = 6.818 kg, rounded to 6.8 kg
44.1 kg

Work: x kg/97 lb = 1 kg/2.2 lb; x = 44.090 kg, rounded to 44.1 kg
52.3 kg

Work: x kg/115 lb = 1 kg/2.2 lb; x = 52.272 kg, rounded to 52.3 kg
84.5 kg

Work: x kg/186 lb = 1 kg/2.2 lb; x = 84.545 kg, rounded to 84.5 kg
16.5 lb

Work: x lb/7.5 kg = 2.2 lb/1 kg; x = 16.5 lb
7.9 lb

Work: x lb/3.6 kg = 2.2 lb/1 kg; x = 7.92 lb, rounded to 7.9 lb
174.2 lb

Work: x lb/79.2 kg = 2.2 lb/1 kg; x = 174.24 lb, rounded to 174.2 lb
198 lb

Work: x lb/90 kg = 2.2 lb/1 kg; x = 198 lb
1.1 lb

Work: x lb/0.5 kg = 2.2 lb/1 kg; x = 1.1 lb
2 mL

Work: x mL/100 mg = 1 mL/50 mg; x = 2 mL
3 tablets

Work: x tablets/375 mg = 1 tablet/125 mg; x = 3 tablets
15 mL

Work: x mL/300 mg = 1 mL/20 mg; x = 15 mL
2 boxes of 100 folders

Work: x boxes/$15.00 = 1 box/$7.40; x = 2.027 boxes, rounded to 2 boxes of 100 folders
0.6 mL

Work: x mL/10,000 units = 15 mL/250,000 units; x = 0.6 mL
3 mL

Work: x mL/30 mg = 2 mL/20 mg; x = 3 mL
6 mL

Work: x mL/60 mg = 4 mL/40 mg; x = 6 mL
6 mL

Work: x mL/300 mg = 10 mL/500 mg; x = 6 mL
6 mL

Work: x mL/30 mg = 1 mL/5 mg; x = 6 mL
1.5 mL

Work: x mL/30 mg = 1 mL/20 mg; x = 1.5 mL
50 mg

Work: x mg/5 mL = 20 mg/2 mL; x = 50 mg
8 mL

Work: x mL/80 mg = 2 mL/20 mg; x = 8 mL
5 mL

Work: x mL/50 mg = 2 mL/20 mg; x = 5 mL
1.25 mL

Work: x mL/12.5 mg = 2 mL/20 mg; x = 1.25 mL
35 mg

Work: x mg/3.5 mL = 20 mg/2 mL; x = 35 mg

2.4 Problem Set

2.16%

Work: 189 mg − 185 mg = 4 mg; (4 mg/185 mg) × 100 = 2.162%, rounded to 2.16%
4.8%

Work: 500 mg − 476 mg = 24 mg; (24 mg/500 mg) × 100 = 4.8%
25.58%

Work: 1,507 mg − 1,200 mg = 307 mg; (307 mg/1,200 mg) × 100 = 25.583%, rounded to 25.58%
16.67%

Work: 15 mg − 12.5 mg = 2.5 mg; (2.5 mg/15 mg) × 100 = 16.666%, rounded to 16.67%
3.75%

Work: 415 mcg − 400 mcg = 15 mcg; (15 mcg/400 mcg) × 100 = 3.75%
26%

Work: 6.3 mL − 5 mL = 1.3 mL; (1.3 mL/5 mL) × 100 = 26%
13.33%

Work: 15 mL − 13 mL = 2 mL; (2 mL/15 mL) × 100 = 13.333%, rounded to 13.33%
33.33%

Work: 20 mL − 15 mL = 5 mL; (5 mL/15 mL) × 100 = 33.333%, rounded to 33.33%
3.33%

Work: 1.5 L − 1.45 L = 0.05 L; (0.05 L/1.5 L) × 100 = 3.333%, rounded to 3.33%
3.71%

Work: 726 mL − 700 mL = 26 mL; (26 mL/700 mL) × 100 = 3.714%, rounded to 3.71%
No. 0.4/3 = 13.3%
No. 0.4/12.5 = 3.2%
No. 0.3/1.8 = 16.7%
Yes. 0.09/3.2 = 2.8%
Yes. 1/150 = 0.7%
Yes. 8/200 = 4%
Yes. 1.5/30 = 5%
Yes. 4/454 = 0.9%
199 mL to 201 mL

Work: 200 mL × 0.005 = 1 mL; 200 mL − 1 mL = 199 mL; 200 mL + 1 mL = 201 mL; the acceptable range is 199 mL to 201 mL
10.22 mL to 10.38 mL

Work: 10.3 mL × 0.0075 = 0.07725 mL, rounded to 0.08 mL; 10.3 mL − 0.08 mL = 10.22 mL; 10.3 mL + 0.08 mL = 10.38 mL; the acceptable range is 10.22 mL to 10.38 mL
813.4 mL to 846.6 mL

Work: 830 mL × 0.02 = 16.6 mL; 830 mL − 16.6 mL = 813.4 mL; 830 mL + 16.6 mL = 846.6 mL; the acceptable range is 813.4 mL to 846.6 mL
17.97 g to 18.03 g

Work: 18 g × 0.0015 = 0.027 g, rounded to 0.03 g; 18 g − 0.03 g = 17.97 g; 18 g + 0.03 g = 18.03 g; the acceptable range is 17.97 g to 18.03 g
747 mg to 753 mg

Work: 750 mg × 0.004 = 3 mg; 750 mg − 3 mg = 747 mg; 750 mg + 3 mg = 753 mg; the acceptable range is 747 mg to 753 mg
80 mg to 120 mg

Work: 100 mg × 0.2 = 20 mg; so the range of accuracy is 80 mg (100 mg − 20 mg) to 120 mg (100 mg + 20 mg)
440 mg to 560 mg

Work: 500 mg × 0.12 = 60 mg; so the range of vitamin C contained in the tablet is 440 mg (500 mg − 60 mg) to 560 mg (500 mg + 60 mg)

Chapter 2 Find Solutions

The dosing cup is the correct measuring device and should be filled to the 20 mL graduation mark.

Work: 50 mg/x mL = 12.5 mg/5 mL; 50 mg(5 mL) = 12.5 mg(x mL); x = 20 mL
180 mL

Work: 20 mL/dose(3 doses/day) = 60 mL/day; 60 mL/day(3 days) = 180 mL
2 bottles

Work: 180 mL/120 mL/bottle = 1.5 bottles; rounded up to 2 whole bottles
4.3 kg

Work: x kg/9.5 lb = 1 kg/2.2 lb; x kg(2.2 lb) = 1 kg(9.5 lb); x = 4.3 kg
1 mL

Work: 25 mg/x mL = 125 mg/5 mL; x mL (125 mg) = 5 mL (25 mg); x = 1 mL
2 mL

Work: 50 mg/x mL = 25 mg/1 mL; x = 2 mL
20 mL

Work: 500 mg/x mL = 50 mg/2 mL; x = 20 mL
250 mg/10 mL
4%

Work: error of measurement = 50 mL − 48 mL = 2 mL; percentage of error = (2 mL/50 mL) × 100 = 4%
Yes

Chapter 3

3.1 Problem Set

The DEA number does not meet standard validity tests. The practice identifier J is not an appropriate initial letter for the DEA number of a medical doctor. Checksum calculation: 2 + 6 + 8 = 16; (1 + 9 + 7) × 2 = 34; 16 + 34 = 50; last digit of checksum matches check digit (0).
The DEA number meets standard validity tests. The practice identifier M is appropriate for a mid-level practitioner; the letter G is the first letter of the prescriber’s last name. Checksum calculation: 3 + 8 + 6 = 17; (0 + 1 + 5) × 2 = 12; 17 + 12 = 29; last digit of checksum matches check digit (9).
The DEA number does not meet standard validity tests. The practice identifier B is an appropriate initial letter for the DEA number of a primary practitioner. The letter H is not the first letter of the prescriber’s last name; however, the prescriber’s last name may have changed. Checksum calculation: 9 + 9 + 0 = 18; (9 + 8 + 7) × 2 = 48; 18 + 48 = 66; last digit of check sum (6) does not match check digit (0).
The DEA number does not meet standard validity tests. The practice identifier A is an appropriate initial letter for the DEA number of a primary practitioner; the letter L is the first letter of the prescriber’s last name. Checksum calculation: 6 + 3 + 6 = 15; (2 + 0 + 1) × 2 = 6; 15 + 6 = 21; last digit of check sum (1) does not match check digit (8).
The letter check does not match; however, the DEA checksum matches. The second letter (D) of the DEA number does not match the first letter of the physician’s last name (C). This discrepancy could be due to a name change. Checksum calculation: 7 + 3 + 2 = 12; (6 + 8 + 2) × 2 = 32; 12 + 32 = 44; last digit of checksum matches check digit (4).
The DEA number meets standard validity tests. The practice identifier B is an appropriate initial letter for the DEA number of a primary practitioner; the letter N is the first letter of the prescriber’s last name. Checksum calculation: 4 + 1 + 2 = 7; (4 + 2 + 0) × 2 = 12; 7 + 12 = 19; last digit of checksum matches check digit (9).
The DEA number meets standard validity tests. The practice identifier A is an appropriate initial letter for the DEA number of a primary practitioner; the letter K is the first letter of the prescriber’s last name. Checksum calculation: 3 + 5 + 4 = 12; (0 + 1 + 9) × 2 = 20; 12 + 20 = 32; last digit of checksum matches check digit (2).
The DEA number meets standard validity tests. The practice identifier M is an appropriate initial letter for the DEA number of a mid-level practitioner; the letter S is the first letter of the prescriber’s last name. Checksum calculation: 2 + 6 + 2 = 10; (8 + 4 + 2) × 2 = 28; 10 + 28 = 38; last digit of checksum matches check digit (8).
The DEA number meets standard validity tests. The practice identifier B is an appropriate initial letter for the DEA number of a primary practitioner; the letter K is the first letter of the prescriber’s last name. Checksum calculation: 1 + 7 + 8 = 16; (1 + 9 + 7) × 2 = 34; 16 + 34=50; last digit of checksum matches the check digit (0).
The DEA number meets standard validity tests. The practice identifier A is an appropriate initial letter for the DEA number of a primary practitioner; the letter A is the first letter of the prescriber’s last name. Checksum calculation: 2 + 7 + 7 = 16; (1 + 0 + 5) × 2 = 12; 16 + 12 = 28; last digit of checksum matches check digit (8).
Brand name: Macrobid

Generic name: nitrofurantoin monohydrate/macrocrystals

Dosage form: capsules

Strength: 100 mg

Total quantity: 100 capsules

Storage requirements: Store between 20° and 25° C (68° to 77° F); excursions permitted to 15° to 50° C (59° to 86° F).

Manufacturer: Paradigm Drug Therapies

NDC number: 0000-0000-000
Brand name: Prozac

Generic name: fluoxetine

Dosage form: capsules

Strength: 20 mg

Total quantity: 100 capsules

Storage requirement(s): Keep tightly closed. Store between 20° and 25° C (68° to 77° F); excursions permitted to 15° to 50° C (59° to 86° F).

Manufacturer: Paradigm Drug Therapies

NDC number: 0000-0000-000
Brand name: Strattera

Generic name: atomoxetine HCl

Dosage form: capsules

Strength: 18 mg

Total quantity: 30 capsules

Storage requirements: Keep tightly closed. Store at controlled room temperature 20° to 25° C (68° to 77° F); excursions permitted to 15° to 50° C (59° to 86° F).

Manufacturer: Paradigm Drug Therapies

NDC number: 0000-0000-000
Brand name: none provided on label

Generic name: spironolactone

Dosage form: tablets

Strength: 50 mg

Total quantity: 100 tablets

Storage requirements: Store at controlled room temperature 20° to 25° C (68° to 77° F); excursions permitted to 15° to 50° C (59° to 86° F) in a light-resistant container.

Manufacturer: Paradigm Drug Therapies

NDC number: 0000-0000-000
Brand name: Vistaril

Generic name: hydroxyzine pamoate

Dosage form: capsules

Strength: 50 mg

Total quantity: 100 capsules

Storage requirements: Store between 20° and 25° C (68° to 77° F); excursions permitted to 15° to 50° C (59° to 86° F).

Manufacturer: Paradigm Drug Therapies

NDC number: 0000-0000-000
Brand name: Restoril

Generic name: temazepam

Dosage form: capsule

Strength: 7.5 mg

Total quantity: 100 capsules

Storage requirement(s): Store between 20° and 25° C (68° to 77° F); excursions permitted to 15° to 50° C (59° to 86° F).

Manufacturer: Paradigm Drug Therapies

NDC number: 0000-0000-000
20 tablets; XX is Roman numeral for 20
30 capsules.

Work: 3 capsules/day × 10 days = 30 capsules
48 tablets.

Work: Determine number of tablets needed for each part of the prescription: 4 tablets/dose × 2 doses/day × 2 days = 16 tablets; 3 tablets/dose × 2 doses/day × 2 days = 12 tablets; 4 tablets/dose × 1 dose/day × 2 days = 8 tablets; 3 tablets/dose × 1 dose/day × 2 days = 6 tablets; 2 tablets/dose × 1 dose/day × 2 days = 4 tablets; 1 tablet/dose × 1 dose/day × 2 days = 2 tablets. Add the subtotals to determine the total number to dispense: 16 tablets + 12 tablets + 8 tablets + 6 tablets + 4 tablets + 2 tablets = 48 tablets.
7 oz

Work: 1 oz/day × 7 days/week = 7 oz for a 1-week supply
150 capsules; #CL = Roman numeral C (100) plus Roman numeral L (50)
14 days

Work: 28 capsules/2 daily = 14 days
90 days

Work: 90 tablets/1 daily = 90 days
30 days

Work: 120 capsules/4 daily = 30 days
60 days

Work: 120 doses/2 daily = 60 days

3.2 Problem Set

g
c
b
a
d
e
f
0730
1628
0045
2120
0224
2258
2350
0120
0003
1220
5:30 p.m.
11:49 p.m.
3:22 p.m.
12:34 a.m.
12:04 p.m.
3:55 a.m.
10:45 p.m.
5:19 p.m.
1:00 p.m.
1:45 a.m.
0815; 1315; 1900
0500
10:00 p.m.
Between 6:00 and 7:00 p.m.
1500; 1505; 1510

3.3 Problem Set

bid = twice a day
DAW = dispense as written
IM = intramuscular
IV = intravenous
mL = milliliter
NKA = no known allergy
npo = nothing by mouth
q3h = every 3 hours
qid = four times a day
tid = three times a day
Take two capsules by mouth four times a day as needed for itching.
Apply one patch every night at bedtime and remove every morning.
Apply one-half inch (7.5 mg) of ointment twice a day every morning and six hours after first (dose) application.
Take two tablets by mouth three times a day before meals.
Take one-half tablet by mouth twice a day.

3.4 Problem Set

This type of prescription is a written prescription.
Beth Arnold
Duane Yamaguchi
MY4756687
The DEA number meets standard validity tests. The letter M is an appropriate initial letter for the DEA number of a midlevel practitioner; the letter Y is the first letter of the prescriber’s last name. Checksum calculation: 4 + 5 + 6 = 15; (7 + 6 + 8) × 2 = 42; 15 + 42 = 57; last digit of the checksum matches the last digit (7).
glipizide 10 mg tablets
The product pictured in the second label (glipizide 10 mg) should be used.
glipizide one tablet by mouth three times daily before meals
The days’ supply of the prescription is 30, and 90 tablets should be dispensed for a 30 days’ supply.
5 refills
This medication order is an admission order.
Caycie Pasqual.
The patient has no known allergies.
The patient’s weight is 132 pounds, and the patient’s height is 5'3".
Greg Galangal, MD
The prescriber is an MD, or medical doctor.
11/16/25
The medication order was written at 1430 (2:30 p.m.).
warfarin 10 mg PO tonight for one dose; docusate 100 mg by mouth every 12 hours, hold for loose stool; Benadryl 50 mg by mouth every night at bedtime as needed for insomnia
2000 or 8:00 p.m.

Chapter 3 Find Solutions

The DEA number provided is not valid.

Work: Checksum calculation: 4 + 2 + 9 = 15; 4 + 3 + 2 = 9; 2 × 9 = 18; 15 + 18 = 33. The last digit of the checksum is 3, but the DEA number has a 1 as the check digit (in the last place).
Take three tablets four times daily or as needed.
NORCO is the brand name, and hydrocodone/acetaminophen is the generic name. Prescribers typically do not write both brand names and generic names on a prescription.
Take one tablet by mouth every day in the morning for edema.
Take one tablet by mouth twice a day for GERD.
Take one tablet by mouth four times a day for five days for shingles.
Take one tablet by mouth three times a day for angina.
Take one tablet by mouth at bedtime for sleep.
Students should have selected the oral syringe. The 1 tsp oral syringe should be filled to the ½ tsp graduation mark.
Students should have selected the medicine cup. The 2 tbsp medicine cup should be filled to the 2 tsp graduation mark.
The DEA number could be valid.

Work: Checksum calculation 3 + 5 + 7 = 15; 4 + 6 + 8 = 18; 2 × 18 = 36; 15 + 36 = 51. The last digit of the checksum is 1, and the DEA number has a 1 as the check digit (in the last place).
1 tab PO qam
30 days
90 tablets
five refills
Take 2 tablets by mouth immediately for 1 dose.
You would include “before meals” in the translation.

Chapter 4

4.1 Problem Set

mcg
mg
L
g
kg
m
cm
mL
mcL
dL
0.6 g
50 kg
0.4 mg
0.04 L
4.2 g
0.005 g
0.06 g
2.6 L
0.03 L
0.02 mL

4.2 Problem Set

1.964 mg

Work: x mg/1,964 mcg = 1 mg/1,000 mcg; x = 1.964 mg
0.418 g

Work: x g/418 mg = 1 g/1,000 mg; x = 0.418 g
651,000 mcg

Work: x mcg/651 mg = 1,000 mcg/1 mg; x = 651,000 mcg
840 mcg

Work: x mcg/0.84 mg = 1,000 mcg/1 mg; x = 840 mcg
12,000 mcg

Work: x mcg/0.012 g = 1,000,000 mcg/1 g; x = 12,000 mcg
9.213406

Work: x g/9,213,406 mcg = 1 g/1,000,000 mcg; x = 9.213406 g
0.284 g

Work: x g/284 mg = 1 g/1,000 mg; x = 0.284 g
9.3825 mg

Work: x mg/9,382.5 mcg = 1 mg/1,000 mcg; x = 9.3825 mg
0.012321 g

Work: x g/12,321 mcg = 1 g/1,000,000 mcg; x = 0.012321 g
0.184 kg

Work: x kg/184 g = 1 kg/1,000 g; x = 0.184 kg
0.052 L

Work: 52 mL × 1 L/1,000 mL = 0.052 L
2,060 mg

Work: 2.06 g × 1,000 mg/1 g = 2,060 mg
16,000 mcg

Work: 16 mg × 1,000 mcg/1 mg = 16,000 mcg
0.256 g

Work: 256 mg × 1 g/1,000 mg = 0.256 g
2.703 g

Work: 2,703,000 mcg × 1 g/1,000,000 mcg = 2.703 g
6,900 mL

Work: 6.9 L × 1,000 mL/1 L = 6,900 mL
0.0625 g

Work: 62.5 mg × 1 g/1,000 mg = 0.0625 g
15,000 g

Work: 15 kg × 1,000 g/1 kg = 15,000 g
2.785 g

Work: 2,785,000 mcg × 1 mg/1,000 mcg × 1 g/1,000 mg = 2.785 g
8.234 mcg

Work: 8.234 mg × 1,000 mcg/1 mg = 8,234 mcg
2,000,000 mg

Work: 2 kg × 1,000,000 mg/1 kg = 2,000,000 mg; or x mg/2 kg = 1,000 g/1 kg; x = 2,000 g; x mg/2,000 g = 1,000 mg/1 g; x = 2,000,000 mg, x = 2,000,000 mg
21,000 mL

Work: 21 L × 1,000 mL/1 L = 21,000 mL; or x mL/21 L = 1,000 mL/1 L, x = 21,000 mL
0.576 L

Work: 576 mL × 1 L/1,000 mL = 0.576 L; or x L/576 mL = 1 L/1,000 mL; x = 0.576 L
823,000,000 mg

Work: 823 kg × 1,000 g/1 kg × 1,000 mg/1 g = 823,000,000 or x g/823 kg = 1,000 g mg/1 kgx = 823,000 g; x mg/823,000 g = 1,000 mg/1 g; x = 823,000,000; x = 823,000,000 mg
0.027 mg

Work: 27 mcg × 1 mg/1,000 mcg = 0.027 mg; or x mg/27 mcg = 1 mg/1,000 mcg; x = 0.027 mg
5 mg

Work: 5,000 mcg × 1 mg/1,000 mcg = 5 mg; or x mg/5,000 mcg = 1 mg/1,000 mcg; x = 5 mg
0.02 mg

Work: 20 mcg × 1 mg/1,000 mcg = 0.02 mg; or x mg/20 mcg = 1 mg/1,000 mcg; x = 0.02 mg
4,624 mcg

Work: 4.624 mg × 1,000 mcg/1 mg = 4,624 mcg; or x mcg/4.624 mg = 1,000 mcg/1 mg; x = 4,624 mcg
3,190 mg

Work: 3.19 g × 1,000 mg/1 g = 3,190 mg; or x mg/3.19 g = 1,000 mg/1 g; x = 3,190 mg
8.736 mg

Work: 8,736 mcg × 1 mg/1,000 mcg = 8.736 mg; or x mg/8,736 mcg = 1 mg/1,000 mcg; x = 8.736 mg
0.83 L

Work: 830 mL × 1 L/1,000 mL = 0.83 L; or x L/830 mL = 1 L/1,000 mL; x = 0.83 L
940 mL

Work: 0.94 L × 1,000 mL/1 L = 940 mL; or x mL/0.94 L = 1,000 mL/1 L; x = 940 mL
1,840 mg

Work: 1.84 g × 1,000 mg/1 g = 1,840 mg; or x mg/1.84 g = 1,000 mg/1 g; x = 1,840 mg
0.56 g

Work: 560 mg × 1 g/1,000 mg = 0.56 g; or x g/560 mg = 1 g/1,000 mg; x = 0.56 g
1.2 mg

Work: 1,200 mcg × 1 mg/1,000 mcg = 1.2 mg; or x mg/1,200 mcg = 1 mg/1,000 mcg; x = 1.2 mg
0.125 mg

Work: 125 mcg × 1 mg/1,000 mcg = 0.125 mg; or x mg/125 mcg = 1 mg/1,000 mcg; x = 0.125 mg
275 mcg

Work: 0.275 mg × 1,000 mcg/1 mg = 275 mcg; or x mcg/0.275 mg = 1,000 mcg/1 mg; x = 275 mcg
0.48 L

Work: 480 mL × 1 L/1,000 mL = 0.48 L; or x L/480 mL = 1 L/1,000 mL; x = 0.48 L
0.239 g

Work: 239 mg × 1 g/1,000 mg = 0.239 g or x g/239 mg = 1 g/1,000 mg; x = 0.239 g
1.5 g

Work: 1,500 mg × 1 g/1,000 mg = 1.5 g; or x g/1,500 mg = 1 g/1,000 mg; x = 1.5 g
1. 20 mL/day
  
  Work: a. 2 tsp/dose × 5 mL/tsp × 2 doses/day = 20 mL/day
2. 140 mL/course of treatment
  
  Work: 20 mL/day × 7 days/course of treatment = 140 mL/course of treatment
3. 0.5 g
  
  Work: 20 mL/day × 125 mg/5 mL × 1 g/1,000 mg = 0.5 g
4. Because each bottle contains 100 mL, two bottles will be needed (200 mL − 140 mL = 60 mL to be discarded).
6 capsules

Work: (1) Convert 1.5 g to milligrams: x mg/1.5 g = 1,000 mg/1 g; x = 1,500 mg.

(2) Determine number of capsules: 1,500 mg × 1 capsule/250 mg = 6 capsules
1. Convert the prescribed dose to grams, 1,000 mg = 1 g. Because one vial contains 10 g, there are ten 1 g doses in one vial.
2. 5 days
  
  Work: x days/10 doses = 1 day/2 doses; x = 5 days; 10 doses × 1 day/2 doses = 5 days

4.3 Problem Set

tsp
lb
tbsp
fl oz
pt
qt
gal
1
8
16
1
2
2
2 tbsp
6 tbsp

4.4 Problem Set

4 pt

Work: 8 cups × 1 pt/2 cups = 4 pt
48 fl oz

Work: 3 pt × 2 cups/1 pt × 8 fl oz/1 cup = 48 fl oz or x cups/3 pt = 2 cups/1 pt; x = 6 cups; × fl oz/6 cups = 8 fl oz/1 cup; x = 48 fl oz
16 fl oz

Work: 1 pt × 2 cups/1 pt × 8 fl oz/1 cup × 2 tbsp/1 fl oz = 32 tbsp, or 16 fl oz or 1 pt = 2 cups; x fl oz/2 cups = 8 fl oz/1 cup; x = 16 fl oz
96 fl oz

Work: 3 qt × 2 pt/1 qt × 2 cups/1 pt × 8 fl oz/1 cup = 96 fl oz or x pt/3 qt = 2 pt/1 qt x = 6 pt; x cups/6 pt = 2 cups/1 pt; x = 12 cups; x fl oz/12 cups = 8 fl oz/1 cup; x = 96 fl oz
4.67 fl oz or 4 2/3 fl oz

Work: 28 tsp × 1 tbsp/3 tsp = 9.333 tbsp, rounded to 9.33 tbsp; 9.33 tbsp × 1 fl oz/2 tbsp = 4.665 fl oz, rounded to 4.67 fl oz or 4 2/3 fl oz
0.5 qt or ½ qt

Work: 1 pt × 1 qt/2 pt = 0.5 qt or ½ qt
288 tsp

Work: 6 cups × 8 fl oz/1 cup × 2 tbsp/1 fl oz × 3 tsp/1 tbsp = 288 tsp or x fl oz/6 cups = 8 fl oz/1 cup; x = 48 fl oz; x tbsp/48 fl oz = 3 tbsp/1 fl oz; x = 96 tbsp; x tsp/96 tbsp = 3 tsp/1 tbsp; x = 288 tsp
228 tsp

Work: 2 pt = 2 pt × 2 cups/1 pt × 8 fl oz/1 cup × 2 tbsp/1 fl oz × 3 tsp/1 tbsp = 192 tsp and 6 fl oz = 6 fl oz × 2 tbsp/1 fl oz × 3 tsp/1 tbsp = 36 tsp; 192 tsp + 36 tsp = 228 tsp
72 doses

Work: 3 cups × 8 fl oz/1 cup × 2 tbsp/1 fl oz × 3 tsp/1 tbsp × 1 dose/2 tsp = 72 doses
384 doses

Work: 12 bottles × 16 fl oz/1 bottle × 3 tbsp/1 fl oz × 1 dose/1 tbsp = 384 doses

4.5 Problem Set

45 mL

Work: 3 tbsp × 15 mL/1 tbsp = 45 mL
30 mL

Work: 1 fl oz × 30 mL/1 fl oz = 30 mL
60 mL

Work: 2 fl oz × 30 mL/1 fl oz = 60 mL
90 mL

Work: 3 fl oz × 30 mL/1 fl oz = 90 mL
120 mL

Work: 4 fl oz × 30 mL/1 fl oz = 120 mL
150 mL

Work: 5 fl oz × 30 mL/1 fl oz = 150 mL
180 mL

Work: 6 fl oz × 30 mL/1 fl oz = 180 mL
210 mL

Work: 7 fl oz × 30 mL/1 fl oz = 210 mL
240 mL

Work: 8 fl oz × 30 mL/1 fl oz = 240 mL
360 mL

Work: 12 fl oz × 30 mL/1 fl oz = 360 mL
480 mL

Work: 16 fl oz × 30 mL/1 fl oz = 480 mL
5.3 tbsp

Work: 80 mL × 1 fl oz/30 mL × 2 tbsp/1 fl oz = tbsp = tbsp = tbsp = 5.3 tbsp
180 mL

Work: 6 fl oz × 30 mL/1 fl oz = 180 mL
3 fl oz

Work: 90 mL × 1 fl oz/30 mL = 3 fl oz
1.7 pt

Work: 800 mL × 1 oz/30 mL × 1 pt/16 oz = pt = pt = 1.67 = 1.7 pt
10.6 tsp

Work: 53 mL × 1 tsp/5 mL = 10 ⅗ tsp = 10.6 tsp
7 tsp

Work: 35 mL × 1 tsp/5 mL = 7 tsp
2.6 gal

Work: 10 L = 10,000 mL; 10,000 mL × 1 gal/3,840 mL = 2.604 gal, rounded to 2.6 gal
60 mL

Work: 4 tbsp × 1 fl oz/2 tbsp × 30 mL/1 fl oz = 60 mL
3 tsp

Work: 15 mL × 1 tsp/5 mL = 3 tsp
1.5 pt, or 1 ½ pt

Work: 720 mL × 1 pt/480 mL = 1.5 pt, or 1 ½ pt
150 mL

Work: 30 tsp × 5 mL/1 tsp = 150 mL
4 fl oz

Work: 120 mL × 1 fl oz/30 mL = 4 fl oz
1,920 mL

Work: ½ gal = 0.5 gal × 3,840 mL/1 gal = 1,920 mL
4.2 pt

Work: 2 L = 2,000 mL; 2,000 mL × 1 pt/480 mL = 4.166 pt, rounded to 4.2 pt
1.6 kg

Work: 3.5 lb × 1 kg/2.2 lb = 1.59 kg, rounded to 1.6 kg
6.4 kg

Work: 14 lb × 1 kg/2.2 lb = 6.364 kg, rounded to 6.4 kg
19.1 kg

Work: 42 lb × 1 kg/2.2 lb = 19.09 kg, rounded to 19.1 kg
44.1 kg

Work: 97 lb × 1 kg/2.2 lb = 44.09 kg, rounded to 44.1 kg
50.9 kg

Work: 112 lb × 1 kg/2.2 lb = 50.909 kg, rounded to 50.9 kg
75 kg

Work: 165 lb × 1 kg/2.2 lb = 75 kg
80.9 kg

Work: 178 lb × 1 kg/2.2 lb = 80.909 kg, rounded to 80.9 kg
112.3 kg

Work: 247 lb × 1 kg/2.2 lb = 112.27 kg, rounded to 112.3 kg
60 g

Work: 2 oz × 30 g/1 oz = 60 g
45 g

Work: 1.5 oz × 30 g/1 oz = 45 g
240 g

Work: 8 oz × 30 g/1 oz = 240 g
2 lb

Work: 906 g × 1 lb/454 g = 1.995 lb, rounded to 2 lb
0.1 lb

Work: 30 g × 1 lb/454 g = 0.0660 lb, rounded to 0.1 lb
24 g

Work: 0.8 oz × 30 g/1 oz = 24 g
30 doses

Work: 5 fl oz = 150 mL; 150 mL × 1 dose/5 mL = 30 doses
32 doses

Work: 1 pt = 480 mL; 480 mL × 1 dose/15 mL = 32 doses
135 mL/day

Work: 1.5 fl oz = 45 mL; 45 mL × 3 times/day = 135 mL/day
32 doses

Work: 8 fl oz = 240 mL; 240 mL × 1 dose/7.5 mL = 32 doses
25 mg

Work: ½ tsp × 5 mL/1 tsp × 10 mg/1 mL = 25 mg
60 days

Work: 4 fl oz × 30 mL/1 fl oz × 10 mg/mL × 1 day/20 mg = 60 days
0.5 tsp

Work: 2.5 mL × 1 tsp/5 mL = 0.5 tsp
21 full days

Work: 320 mL × 1 day/3 tsp × 1 tsp/5 mL = 21.3 days or 21 full days
25 doses

Work: (conversions) 180 lb × 1 kg/2.2 lb = 81.8181 kg, rounded to 81.8 kg; 2 tsp × 5 mL/1 tsp = 10 mL; 81.8 kg × 10 mL/68 kg = 12.029411 mL, rounded to 12 mL; 300 mL × 1 dose/12 mL = 25 doses
20 doses

Work: (conversions) 52 lb × 1 kg/2.2 lb = 23.636 kg, rounded to 23.6 kg; 1 tsp/20 kg × 23.6 kg = 1.18 tsp; 4 fl oz × 30 mL/1 fl oz × 1 tsp/5 mL × 1 dose/1.18 tsp = 20.3 doses, rounded to 20 doses
7 full doses

Work: (conversions) 172 lb × 1 kg/2.2 lb = 78.181 kg, rounded to 78.2 kg; 2 tbsp × 15 mL/1 tbsp = 30 mL; 12 fl oz × 30 mL/1 fl oz = 360 mL; 78.2 kg × 30 mL/50 kg = 46.92 mL, rounded to 46.9 mL; 360 mL × 1 dose/46.9 mL = 7.6759 doses, or 7 full doses

4.6 Problem Set

−17.8° C

Work: (0° − 32°) ÷ 1.8 = −17.777° C, rounded to −17.8° C
−5° C

Work: (23° − 32°) ÷ 1.8 = −5° C
2.2° C

Work: (36° − 32°) ÷ 1.8 = 2.222° C, rounded to 2.2° C
4.4° C

Work: (40° − 32°) ÷ 1.8 = 4.444° C, rounded to 4.4° C
17.8° C

Work: (64° − 32°) ÷ 1.8 = 17.777° C, rounded to 17.8° C
22.2° C

Work: (72° − 32°) ÷ 1.8 = 22.222° C, rounded to 22.2° C
37° C

Work: (98.6° − 32°) ÷ 1.8 = 37° C
38.1° C

Work: (100.5° − 32°) ÷ 1.8 = 38.055° C, rounded to 38.1° C
39.3° C

Work: (102.8° − 32°) ÷ 1.8 = 39.333° C, rounded to 39.3° C
40.6° C

Work: (105° − 32°) ÷ 1.8 = 40.555° C, rounded to 40.6° C
5° F

Work: (1.8 × −15°) + 32 = 5° F
64.4° F

Work: (1.8 × 18°) + 32 = 64.4° F
80.6° F

Work: (1.8 × 27°) + 32 = 80.6° F
87.8° F

Work: (1.8 × 31°) + 32 = 87.8° F
100.4° F

Work: (1.8 × 38°) + 32 = 100.4° F
104° F

Work: (1.8 × 40°) + 32 = 104° F
120.2° F

Work: (1.8 × 49°) + 32 = 120.2° F
145.4° F

Work: (1.8 × 63°) + 32 = 145.4° F
211.6° F

Work: (1.8 × 99.8°) + 32 = 211.64° F, rounded to 211.6° F
214.5° F

Work: (1.8 × 101.4°) + 32 = 214.52° F, rounded to 214.5° F
266° F

Work: (1.8 × 130°) + 32 = 266° F
1. −4° F
  
  Work: (1.8 × –20°) + 32 = –4° F
2. August 1, 2025
  
  Work: 2/1/2025 + 6 months = August 1, 2025
148.9° C

Work: (300° − 32°) ÷ 1.8 = 148.888° C, rounded to 148.9° C
1. 2.3° C
2. 3.2° C
3. 3.9° C
4. 2.1° C
5. 2.7° C
6. 1.6° C; too cold
7. 2.4° C
8. 2.7° C
9. 1.9° C; too cold
10. 3.8° C
Graph refrigerator temperature on chart once daily. If temperature is less than 2 degrees or greater than 5 degrees, check the thermostat setting and correct as necessary. Recheck temperature in one hour, and if temperature is out of stand range, contact maintenance for evaluation and repair. Contact the appropriate area for storage of supplies.

Documentation of Repairs: Documentation of Cleaning:
1. 35.2° F; too cold
2. 37.6° F
3. 37° F
4. 37.4° F
5. 40.1° F
6. 37.8° F
7. 39° F
8. 36.5° F
9. 39.4° F
10. 40.5° F

Graph refrigerator temperature on chart once daily. If temperature is less than 35.6 degrees or greater than 41 degrees, check the thermostat setting and correct as necessary. Recheck temperature in one hour, and if temperature is out of stated range, contact maintenance for evaluation and repair. Contact the appropriate area for storage of supplies.

Documentation of Repairs:		Documentation of Cleaning:

Chapter 4 Find Solutions

Yes. One way to check is to see if the means equal the extremes.

Work: 2.5 mg/mL = 12.5 mg/5 mL; 2.5 mg:1 mL :: 12.5 mg:5 mL; 1 × 12.5 = 2.5 × 5; 12.5 = 12.5
5 mL

Work: 5 mL/tsp × 1 tsp = 5 mL
15 mL

Work: 5 mL/dose × 3 doses/day = 15 mL/day
1 tbsp

Work: 1 tbsp/15 mL × 15 mL = 1 tbsp
480 mL
960 mL

Work: 480 mL × 2 = 960 mL
20 mL

Work: x mL/1,000 mg = 5 mL/250 mg; x = 20 mL; the medicine cup should be filled to 20 mL
4 tsp

Work: x tsp/20 mL = 1 tsp/5 mL; x = 4 tsp
800 mL

Work: 20 mL × 4 doses/day = 80 mL; 80 mL × 10 days = 800 mL
102.2° F

Work: ° F = (1.8 × 39) + 32°

5.1 Problem Set

4 tablets

Work: x tablets/30 mg = 1 tablet/7.5 mg; x = 4 tablets
1.6 mL

Work: x mL/20 mg = 2 mL/25 mg; x = 1.6 mL
6.3 mL

Work: x mL/125 mg = 5 mL/100 mg; x = 6.25 mL, rounded to 6.3 mL
0.8 mL

Work: x mL/4 mg = 1 mL/5 mg; x = 0.8 mL
7 capsules

Work: x capsules/1,750 mg = 1 capsule/250 mg; x = 7 capsules
2 mL

Work: x mL/40 mg = 5 mL/100 mg; x = 2 mL
10 mL

Work: x mL/400 mg = 5 mL/200 mg; x = 10 mL
1. 20 mL
  
  Work: x mL/1,000 mg = 5 mL/250 mg; x = 20 mL
2. 13.3 mL
  
  Work: x mL/800 mg = 5 mL/300 mg; x = 13.3 mL
3. 2 tablets/day
  
  Work: x tablets/500 mg = 1 tablet/1,000 mg; x = 0.5 tablet; 0.5 tablet/dose × 4 doses/day = 2 tablets/day
250 mL

Work: Convert 10 mg to 10,000 mcg; x mL/10,000 mcg = 1 mL/40 mcg; x = 250 mL
20 mg

Work: x mg/2 mL = 20 mg/2 mL; x = 20 mg
2.5 mL

Work: 1 mg/1 × 1000 mcg/1 mg × mL/400 mcg = 2.5 mL; x = 2.5 mL
480 mcg

Work: x mcg/1.2 mL = 400 mcg/1 mL; x = 480 mcg
3,360 mcg

Work: Convert 80 mg to 80,000 mcg; x mcg/0.63 mL = 80,000 mcg/15 mL; x = 3,360 mcg
30,000 capsules

Work: 1.05 kg = 1,050 g = 1,050,000 mg; x capsules/1,050,000 mg = 1 capsule/35 mg; x = 30,000 capsules
22 doses

Work: x doses/880 mg = 2 doses/80 mg; x = 22 doses
11,429 mcg

Work: Convert 1,600 mg to 1,600,000 mcg; x mcg/4 mL = 1,600,000 mcg/560 mL; x = 11,428.571 mcg, rounded to 11,429 mcg
250 mL

Work: Convert 10 mg to 10,000 mcg; x mL/10,000 mcg = 1 mL/40 mcg; x = 250 mL
2 mL

Work: x mL/2,000 units = 1 mL/1,000 units; x = 2 mL
6 mL

Work: x mL/900 mg = 1 mL/150 mg; x = 6 mL
600 mg

Work: x mg/4 mL = 150 mg/1 mL; x = 600 mg
125 mg

Work: x mg/12.5 mL = 50 mg/5 mL; x = 125 mg
10 mL

Work: x mL/100 mg = 5 mL/50 mg; x = 10 mL
5 mg

Work: x mg/0.5 mL = 10 mg/mL; x = 5 mg
8 mg

Work: x mg/0.8 mL = 10 mg/1 mL; x = 8 mg
7.5 mL

Work: x mL/150 mg = 5 mL/100 mg; x = 7.5 mL
25 mL

Work: Convert 0.5 g to 500 mg; x mL/500 mg = 5 mL/100 mg; x = 25 mL
10 mL

Work: x mL/50 mg = 1 mL/5 mg; x = 10 mL
4 mg

Work: x mg/0.8 mL = 5 mg/1 mL; x = 4 mg
4 mL

Work: x mL/100 mg = 5 mL/125 mg; x = 4 mL
187.5 mg

Work: x mg/7.5 mL = 125 mg/5 mL; x = 187.5 mg
8 mL

Work: x mL/20 mg = 5 mL/12.5 mg; x = 8 mL
20 mL

Work: x mL/50 mg = 5 mL/12.5 mg; x = 20 mL
1. 75 mg capsules
  
  Work: Because 150 mg × 1 capsule/25 mg = 6 capsules, 150 mg × 1 capsule/50 mg = 3 capsules, and 150 mg × 1 capsule/75 mg = 2 capsules, then the 75 mg/capsule product will result in the fewest capsules taken per day, which is 2 capsules.
2. 14 capsules
  
  Work: 2 capsules/day × 7 days/week = 14 capsules/week
1. 40 mL
  
  Work: 500 mg/dose × 4 doses/day = 2,000 mg/day; 2,000 mg × 5 mL/250 mg = 40 mL
2. 2 tablets
  
  Work: 50 mg × 1 tablet/25 mg = 2 tablets
3. 19.2 mL
  
  Work: 480 mg × 5 mL/125 mg = 19.2 mL
4. 30 mL
  
  Work: 200 mg/dose × 3 doses/day = 600 mg/day; 600 mg × 5 mL/100 mg = 30 mL

5.2 Problem Set

90 tablets

Work: 3 tablets/day × 30 days = 90 tablets
15 tablets

Work: (4 tablets × 2/day) + (3 tablets × 2/day) + 1 tablet × 1/day) = 15 tablets
26.7 mg

Work: 5 mL × 80 mg/15 mL = 26.7 mg
½ tsp

Work: 60 mg × 5 mL/120 mg = 2.5 mL or ½ tsp
1.152 g

Work: 240 mL × 24 mg/5 mL = 1,152 mg or 1.152 g
520 mg

Work:120 mL × 65 mg/15 mL = 520 mg
417 mg

Work: 10 mL × 2,500 mg/60 mL = 416.67 mg, rounded to 417 mg
6.5 mg

Work: 15 mL × 260 mg/600 mL = 6.5 mg
3 g

Work: 600 mL × 25 mg/5 mL = 3,000 mg or 3 g
90 mg

Work: 30 mg/5 mL = x mg/15 mL; x = 90 mg
19.2 g

Work: 480 mL × 40 mg/1 mL = 19,200 mg or 19.2 g
1. 13.3 days
  
  Work: 150 mL × 1 dose/3.75 mL = 40 doses; 40 doses × 1 day/3 doses = 13.3 days
2. 37.5 mL
  
  Work: 3.75 mL/dose × 3 doses/day = 11.25 mL/day × 10 days = 112.5 mL; 150 mL – 112.5 mL = 37.5 mL
1. 150 mL bottle
  
  Work: 1 tsp = 5 mL; 10 mL/day × 14 days = 140 mL; 150 mL bottle selected
2. 10 mL
  
  Work: 150 mL – 140 mL = 10 mL
8 days

Work: 1 tbsp = 15 mL and 12 fl oz/bottle = 360 mL/bottle; 15 mL/dose × 3 doses/day = 45 mL/day; 360 mL/bottle × 1 day/45 mL = 8 days/bottle
24 days

Work: 2 tsp = 10 mL and 1 tbsp = 15 mL, so 25 mL is being taken every 2 days; 300 mL/25 mL every 2 days = 24 days
1 g

Work: 600 mL × 25 mg/15 mL = 1,000 mg or 1 g
5 bottles

Work: 12 fl oz/bottle = 360 mL/bottle and 1 fl oz × 4 doses/day = 30 mL × 4 doses/day = 120 mL/day; 120 mL/day × 14 days/treatment = 1,680 mL/treatment; 1,680 mL/treatment × 1 bottle/360 mL = 4.666 bottles, or a total of 5 bottles to be purchased
30 tablets

Work: (4 tablets × 4 days) + (3 tablets × 3 days) + (2 tablets × 2 days) + (1 tablet × 1 day) = 16 + 9 + 4 + 1 = 30 tablets
160 mL

Work: 24 hr/day × 1 dose/3 hr = 8 doses/day; 8 doses/day × 10 days = 80 doses; 80 doses × (1 mL/dose × 2 cheeks) = 160 mL
1,800 mg

Work: 12 fl oz/bottle = 360 mL/bottle, 1 tsp/dose = 5 mL/dose; 360 mL/bottle × 25 mg/5 mL = 1,800 mg/bottle
15 fl oz

Work: 2 tsp/dose = 10 mL/dose; 3 doses/day × 10 mL/dose = 30 mL/day; 30 mL/day × 15 days/treatment = 450 mL/treatment; 450 mL/treatment × 1 fl oz/30 mL = 15 fl oz/treatment
1,800 mL

Work: 2 tbsp/dose = 30 mL/dose; 3 doses/day × 30 mL/dose = 90 mL/day; 20 days/treatment × 90 mL/day = 1,800 mL/treatment
2 bottles

Work: 1 tsp = 5 mL; Child 1: 5 mL/dose × 3 doses/day = 15 mL/day; 15 mL/day × 4 days = 60 mL; Child 2: 10 mL/dose × 3 doses/day = 30 mL/day; 30 mL/day × 4 days = 120 mL; 60 mL + 120 mL = 180 mL. Because 1 bottle = 4 fl oz, 4 fl oz/bottle × 30 mL/1 fl oz = 120 mL/bottle. The mother will need 2 bottles, or 240 mL.
Child 1: 25 mg; Child 2: 50 mg

Work: Child 1: 5 mL × 25 mg/5 mL; x = 25 mg; Child 2: 10 mL × 25 mg/5 mL; x = 50 mg
140.25 mg

Work: ¾ tsp = 0.75 tsp; 0.75 tsp × 5 mL/tsp = 3.75 mL; 3.75 mL × 187 mg/5 mL = 140.25 mg
280.5 mg

Work: 1½ tsp = 1.5 tsp; 1.5 tsp × 5 mL/tsp = 7.5 mL; 7.5 mL × 187 mg/5 mL = 280.5 mg
3.34 mL

Work: 125 mg × 5 mL/187 mg = 3.3422 mL, rounded to 3.34 mL
13.37 mL

Work: 500 mg × 5 mL/187 mg = 13.3689 mL, rounded to 13.37 mL
6 syringes

Work: 12 fl oz bottle × 30 mL/1 fl oz = 360 mL; 360 mL × 1 syringe/60 mL = 6 syringes
243 mg
324 mg
405 mg
648 mg
27.3 mcg to 40.9 mcg

Work: 6 lb/(2.2 kg/lb) = 2.727; 2.727 × 10 = 27.27 mcg; 2.727 × 15 = 40.905 mcg; rounded dosage: 27.3 mcg to 40.9 mcg
35.2 mcg to 52.9 mcg

Work: 12 oz/x lb = 16 oz/1 lb; x = 0.75; 7 lb 12 oz = 7.75 lb; 7.75 lb/(2.2 kg/lb) = 3.523; 3.523 × 10 = 35.23; 3.523 × 15 = 52.845; rounded dosage: 35.2 mcg to 52.9 mcg
62.7 mcg to 83.6 mcg

Work: 23 lb/(2.2 kg/lb) = 10.454; 10.454 × 6 = 62.724; 10.454 × 8 = 83.632; rounded dosage: 62.7 mcg to 83.6 mcg
40.9 mcg to 49.1 mcg

Work: 18 lb/(2.2 kg/lb) = 10.454; 8.182 × 5 = 40.91; 8.182 × 6 = 49.092; rounded dosage: 40.9 mcg to 49.1 mcg

5.3 Problem Set

28 mg

Work: 56 kg × 0.5 mg/kg = 28 mg
1,812.5 mg

Work: 87 kg × 125 mg/kg = 10,875 mg per day; for each dose, 10,875 mg/6 doses = 1,812.5 mg
5.6 mL

Work: 1.4 kg × 4 mL/kg = 5.6 mL
1. 50 mg
  
  Work: 80 kg × 0.625 mg/kg = 50 mg
2. 16.67 mg
  
  Work: 50 mg/3 doses = 16.6666 mg/dose, rounded to 16.67 mg/dose
15 mg

Work: 6 kg × 5 mg/kg/day = 30 mg/day; 30 mg/2 doses = 15 mg/dose
8,580 mg

Work: 68.64 kg × 125 mg/kg/day = 8,580 mg/day
50 mg

Work: 10 kg × 10 mg/kg/day = 100 mg/day; 1 day = 24 hr; 100 mg/day = 100 mg/24 hr; 100 mg/2 = 50 mg; 24 hr/2 = 12 hr; 50 mg/12 hr
13.75 mg

Work: 1.1 m² × 25 mg/m² = 27.5 mg; 27.5 mg/2 doses = 13.75 mg/dose
0.50 mg

Work: 0.67 m² × 0.75 mg/m² = 0.5025 mg, rounded to 0.50 mg
85 mg

Work: 0.85 m² × 100 mg/m² = 85 mg
177.5 mg

Work: 0.71 m² × 250 mg/m² = 177.5 mg
2.7 mg

Work: 0.83 m² × 3.3 mg/m² = 2.739 mg, rounded to 2.7 mg
The physician has ordered a dose higher than the recommended dose.

Work: 0.7 m² × 2 mg/m² = 1.4 mg. 1.9 mg is greater than 1.4 mg.
The physician has ordered a dose higher than the recommended dose.

Work: 0.48 m² × 3.3 mg/m² = 1.584 mg, rounded to 1.6 mg. 2.5 mg is greater than 1.6 mg.
The physician has ordered a dose higher than the recommended dose.

Work: 0.47 m² × 250 mg/m² = 117.5 mg. 200 mg is greater than 117.5 mg.
The physician’s dose is under the recommended dose.

Work: 40.9 kg × 50 mg/kg/day = 2,045 mg/day (recommended dose); order is 300 mg × 3 doses/day = 900 mg/day, which is under the recommended dose per day.
1. 1,820 mg
  
  Work: 36.4 kg × 50 mg/kg = 1,820 mg
2. 3,640 mg
  
  Work: 36.4 kg × 100 mg/kg = 3,640 mg
3. The physician’s dose is under the minimum recommended dose. Work: 250 mg × 3 doses/day = 750 mg/day, which is under the minimum recommended dose
4. 25 mL
  
  Work: 250 mg/dose × 50 mL/500 mg = 25 mL/dose
1. 109 mg
  
  Work: 5.45 kg × 20 mg/kg = 109 mg
2. 218 mg
  
  Work: 5.45 kg × 40 mg/kg = 218 mg
3. The physician’s dose is higher than the maximum recommended dose.
  
  Work: 125 mg × 3 doses/day = 375 mg, which is higher than the maximum recommended dose
4. 5 mL
  
  Work: 125 mg/dose × 5 mL/125 mg = 5 mL/dose
1. 5.9 mg
  
  Work: 11.8 kg × 0.5 mg/kg = 5.9 mg
2. 11.8 mg
  
  Work: 11.8 kg × 1 mg/kg = 11.8 mg
3. 24 mg
  
  Work: 10 mL × 12 mg/5 mL = 24 mg
4. No, it is not a safe dose. It is higher than 11.8 mg, the maximum recommended dose.
1. 139.8 mg/day
  
  Work: 9.32 kg × 5 mg/kg = 46.6 mg; 24 hr/day × 1 dose/8 hr = 3 doses/day; 46.6 mg × 3 doses/day = 139.8 mg/day
2. 372.8 mg/day
  
  Work: 9.32 kg × 10 mg/kg = 93.2 mg; 24 hr/day × 1 dose/6 hr = 4 doses/day; 93.2 mg × 4 doses/day = 372.8 mg/day
3. The physician’s dose is higher than the maximum recommended dose.
  
  Work: 125 mg/dose × 3 doses/day = 375 mg/day, which is higher than the maximum recommended dose
4. 6.25 mL
  
  Work: 125 mg × 5 mL/100 mg = 6.25 mL
1. 1,250 mg
  
  Work: 50 kg × 25 mg/kg = 1,250 mg
2. 2,500 mg
  
  Work: 50 kg × 50 mg/kg = 2,500 mg
3. The physician’s dose is under the minimum recommended dose.
  
  Work: 500 mg × 2 doses/day = 1,000 mg/day, which is under the minimum recommended dose
4. 10 mL
  
  Work: 500 mg × 5 mL/250 mg = 10 mL
1. 286 mg
  
  Work: 28.6 kg × 10 mg/kg = 286 mg
2. 429 mg
  
  Work: 28.6 kg × 15 mg/kg = 429 mg
3. It is within the recommended range.
4. 10.1 mL
  
  Work: 325 mg × 5 mL/160 mg = 10.156 mL, rounded down to 10.1 mL (pediatric dose)

Chapter 5 Find Solutions

10 kg

Work: 22 lb × 1 kg/2.2 lb = 10 kg
10 mg

Work: 10 kg × 1 mg/kg = 10 mg
5 mg

Work: 10 mg/2 doses = 5 mg
The 5 mL oral syringe should be filled to 0.62 mL

Work: x mL/5 mg × 5 mL/40 mg; x = 0.625 mL, rounded down to 0.62; the 5 mL oral syringe should be filled to 0.62 mL.
less than 1 teaspoonful
An oral syringe provides a more exact measurement of the dose than a teaspoonful.
21 capsules

Work: 7 days × 3 capsules/day = 21 capsules
30 capsules

Work: 10 days × 3 capsules/day = 30 capsules
5 days

Work: 15 capsules × day/3 capsules = 5 days
14 days

Work: 42 capsules × day/3 capsules = 14 days

6.1 Problem Set

5 mL syringe filled to 5 mL

Work: x mL/50 mg = 1 mL/10 mg; x = 5 mL (5 mL syringe filled to 5 mL)
10 mL syringe filled to 6 mL

Work: x mL/60 mg = 4 mL/40 mg; x = 6 mL (10 mL syringe filled to 6 mL)
10 mL syringe filled to 8 mL

Work: x mL/80 mg = 10 mL/100 mg; x = 8 mL (10 mL syringe filled to 8 mL)
1 mL syringe filled to 0.75 mL

Work: x mL/0.75 mg = 1 mL/1 mg; x = 0.75 mL (1 mL syringe filled to 0.75 mL)
3 mL syringe filled to 2 mL

Work: x mL/100 mg = 1 mL/50 mg; x = 2 mL (3 mL syringe filled to 2 mL)
3 mL syringe filled to 3 mL

Work: x mL/30 mg = 2 mL/20 mg; x = 3 mL (3 mL syringe filled to 3 mL)
5 mL syringe filled to 4 mL

Work: x mL/40 mg = 2 mL/20 mg; x = 4 mL (5 mL syringe filled to 4 mL)
3 mL syringe filled to 2.5 mL

Work: Reconstitute to 100 mg/mL; x mL/250 mg = 1 mL/100 mg; x = 2.5 mL (3 mL syringe filled to 2.5 mL)
5 mL syringe filled to 4 mL

Work: Reconstitute to 100 mg/mL; x mL/400 mg = 1 mL/100 mg; x = 4 mL (5 mL syringe filled to 4 mL)
60 mL syringe filled to 50 mL

Work: x mL/50 mg = 100 mL/100 mg; x = 50 mL (60 mL syringe filled to 50 mL)
7.5 mg

Work: x mg/0.5 mL = 15 mg/1 mL; x = 7.5 mg
52.5 mg

Work: x mg/1.75 mL = 60 mg/2 mL; x = 52.5 mg
75 mg

Work: x mg/3.75 mL = 20 mg/1 mL; x = 75 mg
1.3 mg

Work: x mg/1.3 mL = 2 mg/2 mL; x = 1.3 mg
25 mg

Work: x mg/5 mL = 50 mg/10 mL; x = 25 mg
25 mg

Work: x mg/5 mL = 25 mg/5 mL; x = 25 mg
5 mg

Work: x mg/5 mL = 10 mg/10 mL; x = 5 mg
32 mg

Work: x mg/8 mL = 4 mg/1 mL; x = 32 mg
3 mg

Work: x mg/1.5 mL = 4 mg/2 mL; x = 3 mg
125 mg

Work: x mg/2.5 mL = 50 mg/1 mL; x = 125 mg
2 mg

Work: x g/2 mL = 1 g/1,000 mL; x = 0.002 g = 2 mg
200 mcg

Work: x g/1 mL = 1 g/5,000 mL; x = 0.0002 g = 0.2 mg = 200 mcg
150 mcg

Work: x g/1.5 mL = 1 g/10,000 mL; x = 0.00015 g = 0.15 mg = 150 mcg
700 mcg

Work: x g/1.4 mL = 1 g/2,000 mL; x = 0.0007 g = 0.7 mg = 700 mcg
250 mcg

Work: x mg/2.5 mL = 1 g/10,000 mL; x = 0.00025 g = 0.25 mg = 250 mcg
500 mL

Work: Convert 500 mg to 0.5 g; x mL/0.5 g = 1,000 mL/1 g; x = 500 mL
500 mL

Work: Convert 50 mg to 0.05 g; x mL/0.05 g = 10,000 mL/1 g; x = 500 mL
180 mL

Work: Convert 600 mg to 0.6 g; x mL/0.6 g = 300 mL/1 g; x = 180 mL
125 mL

Work: Convert 250 mg to 0.25 g; x mL/0.25 g = 500 mL/1 g; x = 125 mL
7.5 mL

Work: x mL/0.01 g = 750 mL/1 g; x = 7.5 mL

6.2 Problem Set

0.7 mL

Work: Convert 375 mg to 0.375 g; x mL/1.5 g = 1 mL/0.375 g; x = 4 mL; 4 mL final volume – 3.3 mL diluent volume = 0.7 mL powder volume
91.4 mL

Work: Convert 250 mg to 0.25 g and note that 1 tsp = 5 mL; x mL/5 g = 5 mL/0.25 g; x = 100 mL final volume; 100 mL final volume – 8.6 mL powder volume = 91.4 mL diluent volume
1.6 mL

Work: Convert 1 g to 1,000 mg; x mL/1,000 mg = 2 mL/125 mg; x = 16 mL final volume; 16 mL final volume – 14.4 mL diluent volume = 1.6 mL powder volume
1.2 mL

Work: Convert 250 mg to 0.25 g; x mL/2 g = 1 mL/0.25 g; x = 8 mL final volume; 8 mL final volume – 6.8 mL diluent volume = 1.2 mL powder volume
14.8 mL

Work: Convert 125 mg to 0.125 g; x mL/2 g = 1 mL/0.125 g; x = 16 mL final volume; Using the powder volume calculated in #4,16 mL final volume – 1.2 mL powder volume = 14.8 mL diluent volume
4.3 mL

Work: Convert 250 mg to 0.25 g; x mL/4 g = 1 mL/0.25 g; x = 16 mL final volume; 16 mL final volume – 11.7 mL diluent volume = 4.3 mL powder volume
1,200 mg/mL

Work: x mL/6 g = 2.5 mL/1 g; x = 15 mL final volume; 15 mL final volume – 12.5 mL diluent volume = 2.5 mL powder volume; 2.5 mL powder volume + 2.5 mL diluent volume = 5 mL final volume; 6 g/5 mL = 1.2 g/mL = 1,200 mg/mL
0.7 mL

Work: 4 mL final volume – 3.3 mL diluent volume = 0.7 mL powder volume
0.4 mL

Work: Using the information from #8, 1 g/4 mL, convert 1 g to 1,000 mg; x mL/100 mg = 4 mL/1,000 mg; x = 0.4 mL
1.2 mL

Work: x mL/2 g = 1 mL/0.2 g; x = 10 mL final volume; 10 mL final volume – 8.8 mL diluent volume = 1.2 mL powder volume
200 mg

Work: Convert 10 g to 10,000 mg; 45 mLdiluent volume + 5 mL powder volume = 50 mL final volume; x mg/1 mL = 10,000 mg/50 mL; x = 200 mg (or 200 mg/mL)
200 mg

Work: Convert 8 g to 8,000 mg and note that 1 tsp = 5 mL; x mg/5 mL = 8,000 mg/200 mL; x = 200 mg (or 200 mg/tsp)
46 mL

Work: x mL/20 g = 6 mL/1 g; x = 20 mL final volume; 120 mL final volume – 106 mL diluent volume = 14 mL powder volume; x mL/20 g = 3 mL/1 g; x = 60 mL final volume; 60 mL final volume – 14 mL powder volume = 46 mL diluent volume
1.8 mL

Work: Convert 2 g to 2,000 mg; x mL/2,000 mg = 1 mL/375 mg; x = 5.3 mL final volume; 5.3 mL final volume – 3.5 mL diluent volume = 1.8 mL powder volume
32.1 mL

Work: Convert 2.5 g to 2,500 mg; x mL/2,500 mg = 5 mL/300 mg; x = 41.7 mL final volume; 41.7 mL final volume – 9.6 mL powder volume = 32.1 mL diluent volume
11.4 mL

Work: Convert 5 g to 5,000 mg; x mL/5,000 mg = 1 mL/250 mg; x = 20 mL final volume; 20 mLfinal volume – 8.6 mL diluent volume = 11.4 mL powder volume
250 mg/mL

Work: x mg/10 g = 2.5 mL/1 g; x = 5 mL final volume; 25 mL final volume – 20 mL diluent volume = 5 mL powder volume; 5 mL powder volume + 35 mL new diluent volume = 40 mL final volume; 10 g/40 mL = 0.25 g/mL or 250 mg/mL
0.7 mL

Work: 5 mL final volume − 4.3 mL diluent volume = 0.7 mL powder volume
167 mg

Work: 25 mL diluent volume + 5 mL powder volume = 30 mL final volume; Convert 5 g to 5,000 mg; x mg/1 mL = 5,000 mg/30 mL; x = 167 mg (or 167 mg/mL)
200 mg

Work: 90 mL diluent volume + 10 mL powder volume = 100 mL final volume; Convert 20 g to 20,000 mg; x mg/1 mL = 20,000 mg/100 mL; x = 200 mg (or 200 mg/mL)
120 mg

Work: 20 mL diluent volume + 5 mL powder volume = 25 mL final volume; Convert 3 g to 3,000 mg; x mg/1 mL = 3,000 mg/25 mL; x = 120 mg (or 120 mg/mL)
33 mL

Work: 100 mL final volume − 67 mL diluent volume = 33 mL powder volume
350 mg/mL

Work: Convert 35 g to 35,000 mg; x mg/1 mL = 35,000 mg/100 mL; x = 350 mg (or 350 mg/mL)

6.3 Problem Set

10 mL syringe filled to 6.8 mL graduation mark

Work: x mL/30 mEq = 1 mL/4.4 mEq; x = 6.81818 mL, rounded to 6.8 mL (10 mL syringe filled to 6.8 mL graduation mark)
10 mL syringe filled to 10 mL graduation mark

Work: x mL/44 mEq = 1 mL/4.4 mEq; x = 10 mL (10 mL syringe filled to 10 mL graduation mark)
4 tablets

Work: x tablets/32 mEq = 1 tablet/8 mEq; x = 4 tablets
10 mL syringe filled to 5.6 mL graduation mark

Work: x mL/30 mEq = 15 mL/40 mEq; x = 11.25 mL; 11.25 mL/2 doses = 5.625 mL, rounded to 5.6 mL (10 mL syringe filled to 5.6 mL graduation mark)
30 mEq

Work: x mEq/15 mL = 20 mEq/10 mL; x = 30 mEq
30 mL syringe filled to 27 mL graduation mark

Work: x mL/36 mEq = 15 mL/20 mEq; x = 27 mL (30 mL syringe filled to 27 mL graduation mark)
10 mL syringe filled to 7 mL graduation mark

Work: Select the 20 mEq vial; x mL/14 mEq = 1 mL/2 mEq; x = 7 mL (10 mL syringe filled to 7 mL graduation mark)
10 mL syringe filled to 10 mL graduation mark

Work: Select the 20 mEq vial; x mL/20 mEq = 1 mL/2 mEq; x = 10 mL (10 mL syringe filled to 10 mL graduation mark)
13.5 mL

Work: Select the 40 mEq vial; x mL/27 mEq = 1 mL/2 mEq; x = 13.5 mL
25 mL

Work: Select the 40 mEq plus the 10 mEq vial; x mL/50 mEq = 1 mL/2 mEq; x = 25 mL
16 mEq

Work: x mEq/8 mL = 60 mEq/30 mL; x = 16 mEq; or x mEq/8 mL = 2 mEq/1 mL; x = 16 mEq
30 mEq

Work: x mEq/15 mL = 40 mEq/20 mL; x = 30 mEq; or x mEq/15 mL = 2 mEq/1 mL; x = 30 mEq
60 mL syringe filled to 33 mL graduation mark

Work: x mL/132 mEq = 1 mL/4 mEq; x = 33 mL (60 mL syringe filled to 33 mL graduation mark)
30 mL syringe filled to 30 mL graduation mark

Work: x mL/120 mEq = 1 mL/4 mEq; x = 30 mL (30 mL syringe filled to 30 mL graduation mark)
0.4 mL

Work: x mL/4 units = 1 mL/10 units; x = 0.4 mL
3 mL syringe filled to 2.8 mL graduation mark

Work: x units/2.8 mL = 10 units/1 mL; x = 28 units (3 mL syringe filled to 2.8 mL graduation mark)
3.5 mL

Work: x mL/3,500 units = 1 mL/1,000 units; x = 3.5 mL
10,750 units

Work: x units/0.43 mL = 20,000 units/0.8 mL; x = 10,750 units
0.7 mL

Work: x mL/7,000 units = 1 mL/10,000 units; x = 0.7 mL
2.4 mL

Work: x mL/24,000 units = 1 mL/10,000 units; x = 2.4 mL
0.3 mL

Work: x mL/30 mg = 0.8 mL/80 mg; x = 0.3 mL
0.35 mL

Work: x mL/175,000 units = 1 mL/500,000 units; x = 0.35 mL
2 mL

Work: x mL/1,200,000 units = 1 mL/600,000 units; x = 2 mL
7.7 mL

Work: x mL/385,000 units = 1 mL/50,000 units; x = 7.7 mL
0.45 mL

Work: x mL/45 units = 1 mL/100 units; x = 0.45 mL
35 days

Work: Calculate morning dose: x mL/18 units = 1 mL/100 units; x = 0.18 mL; Calculate evening dose: x mL/10 units = 1 mL/100 units; x = 0.1 mL; Add morning and evening doses: 0.18 mL/morning + 0.1 mL/evening = 0.28 mL/day; Because the vial shown on the label contains 10 mL, calculate time for 10 mL vial to last: x days/10 mL vial = 1 day/0.28 mL; x = 35.714 days, rounded to 35 days
1. 38 units
  
  Work: Add morning and evening units: 20 units + 18 units = 38 units/day
2. 2 vials
  
  Work: x mL/38 units = 1 mL/100 units; x = 0.38 mL. Calculate the number of days of therapy in a 10 mL vial: 10 mL/0.38 mL = 26.3 days, rounded down to 26 days for 1 vial. Therefore, 2 vials will be needed for 30 days of therapy.
Humulin R: 1 vial; Humulin 70/30: 1 vial

Work: Humulin R: 10 units/dose × 1 dose/day × 30 days = 300 units for month; 300 units × 1 mL/100 units = 3 mL; 1 vial will be needed; Humulin 70/30: 15 units/dose × 2 doses/day × 30 days = 900 units for month; 900 units × 1 mL/100 units = 9 mL; 1 vial will be needed
50 units

Work: x units/0.5 mL = 100 units/1 mL; x = 50 units
50 days

Work: 20 units/dose × 2 doses/day = 40 units/day; x mL/40 units = 1 mL/100 units; x = 0.4 mL (used daily); x days/20 mL = 1 day/0.4 mL; x = 50 days

Chapter 6 Find Solutions

0.5 mL

Work: 5,000 units × mL/10,000 units = 0.5 mL
0.25 mL

Work: 5,000 units × mL/20,000 units = 0.25 mL
33.3 mL

Work: 2,000,000 units × mL/60,000 units = 33.3 mL
133.3 mL

Work: 2,000,000 units/dose × 4 doses/day × mL/60,000 = 133.3 mL
100 mL

Work: 2,000,000 units × mL/20,000 units = 100 mL
400 mL

Work: 2,000,000 units/dose × 4 doses/day × mL/20,000 units = 400 mL
20 mL

Work: 40 mEq/dose × 10 mL/20 mEq = 20 mL
100 mL

Work: 40 mEq/dose × 50 mL/20 mEq = 100 mL
30 mL

Work: 40 mEq/dose × 15 mL/20 mEq = 30 mL
30 mEq

Work: 15 mL × 10 mEq/5 mL = 30 mEq

Chapter 7

7.1 Problem Set

You will need 1 g of coal tar, 0.25 g of salicylic acid, 3.75 g of triamcinolone 0.1%, and 25 g of hydrophilic petrolatum base ointment.

Work: Because 30 g/120 g = 30/120 = ¼ ratio you would divide each number by 4 (or multiply by ¼).

Coal tar: 4 g/4 = 1 g

salicylic acid 1: 1 g/4 = 0.25 g

triamcinolone 0.1%: 15 g/4 = 3.75 g

hydrophilic petrolatum base ointment: 100 g/4 = 25 g
You will need 12 g of progesterone, 150 g of polyethylene glycol 3350, and 450 g of polyethylene glycol 1000.

Work: Because 150/30 = 5/1 ratio, you would multiply each number by 5.

progesterone: 2.4 g × 5 = 12 g

polyethylene glycol 3350: 30 g × 5 = 150 g

polyethylene glycol 1000: 90 g × 5 = 450 g
You will need 30 mL of podophyllum resin 25% and QSAD 120 mL of benzoin tincture.

Work: Because 120/20 = 6/1 ratio you will multiply by 6.

podophyllum resin 5 mL × 6 = 30 mL

5 mL × 6 = 30 mL

benzoin tincture QSAD 20 mL × 6 = 120 mL

Note: You could also solve this problem by multiplying 120 × 0.25 = 30 mL; 120−30 = 90 mL.
You will need 8 capsules of tetracycline 500 mg, 7.5 mL of hydrocortisone suspension, 10 mL of lidocaine oral suspension, and QSAD 120 mL of Mylanta suspension.

Work: 8 oz = 240 mL

120/240 = ½ ratio

tetracycline 500 mg capsules: 16/2 = 8 capsules

hydrocortisone suspension 15 mL: 15/2 = 7.5 mL

lidocaine oral suspension 30 mL: 30/2 = 15 mL

Mylanta suspension: QSAD 240 mL; 240/2 = QSAD 120 mL
You will need 3.6 g of antipyrine, 1 g of benzocaine, and QSAD to 60 mL of glycerin.

Work: 4 × 15 = 60 mL

60/30 = 2/1 ratio

antipyrine: 1.8 g × 2 = 3.6 g

benzocaine: 0.5 g × 2 = 1 g

glycerin: QSAD 30 mL × 2 = QSAD 60 mL

7.2 Problem Set

100 mL of D₁₀W and 100 mL of D₅W

10

2.5 parts of 10%

7.5

5

2.5 parts of 5%

2.5 + 2.5 = 5 (total number of parts)

2.5/5 = x/200 = 100; x = 100 mL of D₁₀W

2.5/5 = x/200 = 100; x = 100 mL of 5% D_5W
80 mL of D₂₀W and 320 mL of D₅W

20

3 parts of 20%

8

5

12 parts of 5%

3 + 12 = 15 (total number of parts)

3/15 = x/400 = 80; x = 80 mL of D₂₀W

12/15 = x/400 = 320; x = 320 mL of D_5W
58 mL of D₇₀W and 442 mL of D₅W

70

7.5 parts of 70%

12.5

5

57.5 parts of 5%

7.5 + 57.5 = 65 (total number of parts)

7.5/65 = x/500 = 57.69; x = 57.69, rounded to 58 mL of D₇₀W

57.5/65 = x/500 = 442.31; x = 442.31, rounded to 442 mL of D₅W
200 mL of D₅W and 50 mL of D₁₀W

10

1 part of 10%

6

5

4 parts of 5%

4 + 1 = 5 (total number of parts)

4/5 = x/250 = 200; x = 200 mL of D₅W

1/5 = x/250 = 50; x = 50 mL of D₁₀W
28 mL of D₅₀W and 472 mL of D₅W

50

2.5 parts of 50%

7.5

5

42.5 parts of 5%

2.5 + 42.5 = 45 (total number of parts)

2.5/45 = x/500 = 27.78; x = 27.78, rounded to 28 mL of D₅₀W

42.5/45 = x/500 = 472.22; x = 472.22, rounded to 472 mL of D₅W
50 mL of D₂₀W and 200 mL of D₅W

20

3 parts of 20%

8

5

12 parts of 5%

3 + 12 = 15 (total number of parts)

3/15 = x/250 = 50; x = 50 mL of 20%

12/15 = x/250 = 200; x = 200 mL of 5%
50 mL of D₂₀W and 250 mL of D₅W

20

2.5 parts of 20%

7.5

5

12.5 parts of 5%

2.5 + 12.5 = 15 (total number of parts)

2.5/15 = x/300 = 50; x = 50 mL of D₂₀W

12.5/15 = x/300 = 250; x = 250 mL of D₅W
125 mL of D₂₀W and 375 mL of D₁₀W

20

2.5 parts of 20%

12.5

10

7.5 parts of 10%

2.5 + 7.5 = 10 parts total

2.5/10 = x/500 = 125; x = 125 mL of D₂₀W

7.5/10 = x/500 = 375; x = 375 mL of D₁₀W
75 mL of D₁₀W and 75 mL of D₅W

10

2.5 parts of 10%

7.5

5

2.5 parts of 5%

2.5 + 2.5 = 5 (total number of parts)

2.5/5 = x/150 = 75; x = 75 mL of D₁₀W

2.5/5 = x/150 = 75; x = 75 mL of D₅W
63 mL of D₂₀W and 188 mL of D₁₀W

20

2.5 parts of 20%

12.5

10

7.5 parts of 10%

2.5 + 7.5 = 10 (total number of parts)

2.5/10 = x/250 = 62.5; x = 62.5, rounded to 63 mL of D₂₀W

7.5/10 = x/250 = 187.5; x = 187.5, rounded to 188 mL of D₁₀W
13 g of 10% cream and 47 g of 1% cream

10

2 parts of 10%

3

1

7 parts of 1%

2 + 7 = 9 (total number of parts)

2/9 = x/60 = 13.33; x = 13.33, rounded to 13 g of 10% cream

7/9 = x/60 = 46.66; x = 46.66, rounded to 47 g of 1% cream
8 g of 15% cream and 23 g of 5% cream

15

2.5 parts of 15%

7.5

5

7.5 parts of 5%

7.5 + 2.5 = 10 (total number of parts)

2.5/10 = x/30 = 7.5; x = 7.5, rounded to 8 g of 15% cream

7.5/10 = x/30 = 22.5; x = 22.5, rounded to 23 g of 5% cream
60 g of 5% cream and 60 g of 1% cream

4 × 30 = 120 g

5

2 parts of 5%

3

1

2 parts of 1%

2 + 2 = 4 (total number of parts)

2/4 = x/120 = 60; x = 60 g of 5% cream

2/4 = x/120 = 60; x = 60 g of 1% cream
15 g of 20% zinc oxide ointment and 30 g of 5% zinc oxide ointment

20

5 parts of 20%

10

5

10 parts of 5%

10 + 5 = 15 (total number of parts)

5/15 = x/45 = 15; x = 15 g of 20%

10/15 = x/45 = 30; x = 30 g of 5%
60 g of 10% cream and 40 g of 5% cream

10

3 parts of 10%

8

5

2 parts of 5%

3 + 2 = 5 (total number of parts)

3/5 = x/100 = 60; x = 60 g of 10% cream

2/5 = x/100 = 40; x = 40 g of 5% cream

7.3 Problem Set

1.5 g

Work: 2% = 2 g/100 g; 2 g/100 g = x g/75 g; x = 1.5 g

Therefore, there are 1.5 g of hydrocortisone in 75 g of the cream.
1.8%

Work: 8 g/454 g = x g/100 g; x = 1.8 g

Therefore, the percentage strength of the compound is 1.8%.
2.5 g

Work: 2.5% = 2.5 g/100 g

Therefore, 2.5 g of acyclovir will be needed for this preparation.
16.7%

Work: 10 g + 50 g = 60 g; 10 g/60 g = x g/100 g;

10 × 100 = 1,000; 1,000/60 = 16.66 g; x = 16.7 g

Therefore, the percentage strength of the compound is 16.7%.
0.6 g

Work: 2% = 2 g/100 g; 2 g/100 g = x g/30 g; 2 × 30 = 60; 60/100 = 0.6; x = 0.6 g

Therefore, 0.6 g of triamcinolone will be needed for this prescription.
0.0075 g

Work: 0.05% = 0.05 g/100 g; 0.05 g/100 g = x g/15 g;
0.05 × 15 = 0.75; 0.75/100 = 0.0075 g

Therefore, 0.0075 g of mometasone fumarate will be needed to prepare the prescription.
1. 20 g
  
  Work: 200 mg/sup × 100 sup/1 × 1 g/1,000 mg = 20 g
2. 20%
  
  Work: 200 mg/sup × 1 g/1,000 mg = 0.2 g; x g/100 g = 0.2 g/1 g; x = 20
  
  Therefore, the percentage strength is 20%.
0.23 g

Work: 0.75% = 0.75 g/100 g; 0.75 g/100 g = x g/30 g; 0.75 × 30 = 22.5; 22.5/100 = 0.225 g (rounded to 0.23 g) of metronidazole needed for this prescription
0.02 g

Work: 0.05% = 0.05 g/100 g

0.05 g/100 g = x g/30 g

0.05 × 30 = 1.5/100 = 0.02 g, rounded to 0.02 g

Therefore, 0.015 g of clindamycin is needed to prepare this prescription.
1. 5 g
  
  Work: 10% = 10 g/100 g; 10 g/100 g = x g/50 g; 10 × 50 = 500; 500/100 = 5 g
  
  Therefore, 5 g of acyclovir are needed to prepare this prescription.
2. 50 doses
  
  Work: 1 dose = 1 g; 1 g/1 dose = 50 g/x doses; 50 × 1 = 50; 50/1 = 50 doses
  
  Therefore, there are 50 doses.

Chapter 7 Find Solutions

0.1 g
0.03 g

Work: 0.1 g/100 g × 30 g = 0.03 g
0.015 g

Work: 0.1 g/100 g × 15 g = 0.015 g
2.5%

Work: 2.5 g/100 g = x g/100 g; x = 2.5%
6.7%

Work: 3 g/45 g = x g/100 g; x = 6.7%
16 oz

Work: 480 mL × 1 oz/30 mL = 16 oz
1.3 oz

Work: 80 mL/2 = 40 mL; 40 mL × 1 oz/30 mL = 1.3 oz
100 mg

Work: 12.5 mg/5 mL × 40 mL = 100 mg
120 mg

Work: 15 mg/5 mL × 40 mL = 120 mg
Swish, gargle, and spit 5−10 mL every six hours as needed for irritation.

A (higher %)
10

D (parts of higher %; the difference of B − C)
2

B (desired %)
3

C (lower %)
1

E (parts of lower %; the difference of A − B)
7

2 + 7 = 9 parts total

x = 100.9 g of zinc oxide cream 10%

x = 353.1 g of zinc oxide cream 1%
3
2
7
9
100.9 g of zinc oxide cream 10% and 353.1 g of zinc oxide cream 1%

Chapter 8

8.1 Problem Set

one quarter
$10 bill
one $10 bill, four $1 bills, and one quarter
one penny
$1 bill
one penny, two quarters, one $1 bill, and two $20 bills

8.2 Problem Set

1 bottle of 500
2 bottles of 100
1 bottle of 500
no purchase necessary
1 bottle of 100
no purchase necessary
1 bottle of 50
no purchase necessary
no purchase necessary
3 of the 15 g; 4 of the 80 g
1 of the 15 g; 1 of the 60 g; 2 of the 80 g
1 of the 60 mL
1 of the 15 g; 1 of the 60 g
3 of the 60 g
1 of the 15 g; 1 of the 60 g; 0 of the 4 oz
2 of the 15 g; 1 of the 60 g
0 of the 15 g; 0 of the 45 g
0 of the 15 g; 1 of the 30 g; 0 of the 60 g; 1 of the 120 g
0 of the 15 g; 0 of the 30 g; 1 of the 60 g
0 of the 15 g; 0 of the 30 g; 1 of the 60 g; 0 of the 120 g
1 of the 20 mL; 1 of the 60 mL
1 bottle of 100
1 bottle of 100
1 bottle of 100
2 bottle of 60
1 bottle of 100
1 bottle of 1,000
0 (or 1) bottles of 100
1 bottle of 1,000
1 bottle of 100
1 bottle of 300
1 bottle of 100
0 (or 1) bottles of 100
1 bottle of 1,000
1 bottle of 100
0 bottles of 100
1. 7 jars
2. 2 bottles of 1,000
3. 20 bottles
4. 11 bottles
5. 3 bottles
1. 34 inventory days’ supply
  
  Work: $183,445.00/(38,207.00/7) = 33.61, rounded to 34
2. $32,748.84, which makes the pharmacy six days over its goal
  
  Work: $5458.14 × 6 = $32,748.84
1. 33 inventory days’ supply
  
  Work: $123,490.00/($26,504.00/7) = 32.62, rounded to 33
2. $26,504.00, which makes the pharmacy seven days over its goal
  
  Work: ($26,504.00/7) × 7 = $26504.00
$42,936.25

Work: $147,210.00/24 = $6133.75; the approximate cost of goods sold in one day was $6133.75; $6133.75 × 7 days = $42936.25; the cost of products sold last week is $42936.25
The pharmacy’s daily sales average must be $8,040.00.

Work: $51,280.00 + $5,000.00 = $56,280.00; $56,280.00/7 = $8,040.00
The turnover rate was 12.13.

Work: $1,612,000.00/$132,936.00 = 12.126, rounded to 12.13
The turnover rate was 11.32.

Work: $1,768,000.00/$156,200.00 = 11.31, rounded to 11.32
The turnover rate is 40.

Work: $20,800.00/$520.00 = 40
The turnover rate is 32.36.

Work: $5,760.00/$178.00 = 32.36
The turnover rate is 20.04.

Work: $7,213.00/$360.00 = 20.04
The turnover rate is 15.81.

Work: $5,060.00/$320.00 = 15.81
The turnover rate is 15.58.

Work: $6,000.00/$385.00 = 15.58
The turnover rate is 10.5.

Work: $52,500.00/$5,000.00 = 10.5
The annual depreciation is $1,026.00.

Work: $8,294.00 − $2,138.00 = $6,156.00;

$6,156.00/6 = $1,026.00
The annual depreciation amount for both cabinets is $2,797.17.

Work: $18,350.00 × 2 = $36,700.00; $1,567.00 × 2 = $3,134.00; $36,700.00 − $3,134.00 = $33,566.00; $33,566.00/12 = $2,797.17
500 tablets/bottle, $35.30

Work: ($35.30/500=$0.07/tablet)
1,480

8.3 Problem Set

The pharmacy’s desired income goal for 18% profit is $1,156,400.00.

Work: $135,000.00 + $52,000.00 + $23,000.00 + $6,000.00 + $4,000.00 + $2,000.00 + $4,000.00 + $4,000.00 + $750,000.00 = $980,000.00; $980,000.00 × 0.18 = $176,400.00; $980,000.00 + $176,400.00 = $1,156,400.00
The pharmacy’s percentage of profit is 30%.

Work: $1,401,489.00 − $980,000.00 = $421,489.00;

$421,480.00/$1,401,490.00 = 0.30 = 30%
The pharmacy’s percentage of profit is 18%.

Work: $1,191,692.00 − $980,000.00 = $211,692.00;

$211,692.00/$1,191,692.00 = 0.178 = 17.8%, rounded to 18%
The desired income goal for 20% profit is $244,200.00.

Work: $72,000.00 + $52,000.00 + $13,000.00 + $5,500.00 + $2,000.00 + $1,500.00 + $4,000.00 + $3,500.00 + $50,000.00 + $203,500.00; $203,500.00 × 0.2 = $40,700.00; $203,500.00 + $40,700.00 = $244,200.00;
The pharmacy’s percentage of profit is 79%.

Work: $991,982.00 − $203,500.00 = $788,482.00;

$788,482.00/$991,982.00 = 0.79 = 79%
The pharmacy’s percentage of profit is 84%.

Work: $1,248,301.00 − $203,500.00 = $1,044,801.00; $1,044,801.00/$1,248,301.00 = 0.837 = 83.7%, rounded to 84%;
The pharmacy’s overhead for the week is $50,916.70.

Work: $54,617.53 − $3,700.83= $50,916.70
For this pharmacy to make a 22% profit, its weekly sales must be $15,900.33.

Work: $13,033.06 × 0.22 = $2,867.27; $2,867.27 + $13,033.06 = $15,900.33
The net profit for this prescription drug item is $2.36.

Work: $3.96/100 × 50 = $1.98; $8.59 − $1.98 – $4.25 = $2.36
The net profit for this prescription drug item is $10.04.

Work: $8.50/500 × 30 = $0.51; $14.80 − $0.51 − $4.25 = $10.04 net profit
The net profit for this prescription drug item is $5.70.

Work: $118.50/100 tablets × 30 = $35.55; $45.50 – $35.55 – $4.25 = $5.70 net profit
The net profit for this prescription drug item is $2.21.

Work: $83.50/500 tablets × 100 = $16.70; $23.16 − $16.70 – $4.25 = $2.21 net profit
The net profit for this prescription drug item is $0.37.

Work: $41.20/100 tablets × 90 = $37.08; $41.70 − $37.08 − $4.25 = $0.37 net profit
The markup amount is $7.84; the markup rate is 44.8%.

Work: $25.34 − $17.50 = $7.84 markup amount; $7.84/$17.50 × 100 = 44.8% markup rate
The markup amount is $5.60; the markup rate is 45.5%.

Work: $17.90 − $12.30 = $5.60 markup amount; $5.60/$12.30 × 100 = 45.5%
The discounted selling price is $4.71.

Work: $5.89 × 0.2 = $1.18; $5.89 − $1.18 = $4.71
The discounted selling price is $1.01.

Work: $1.19 × 0.15 = $0.18; $1.19 − $0.18 = $1.01
The discounted selling price is $5.10.

Work: $7.29 × 0.30 = $2.19; $7.29 − $2.19 = $5.10
The discounted selling price is $4.84.

Work: $5.69 × 0.15 = $0.85; $5.69 − $0.85 = $4.84
The discounted selling price is $2.92.

Work: $3.89 × 0.25 = $0.97; $3.89 − $0.97 = $2.92
The discounted selling price is $2.98.

Work: $4.26 × 0.30 = $1.28; $4.26 − $1.28 = $2.98
The discounted selling price is $4.35.

Work: $8.70 × 0.5 = $4.35; $8.70 − $4.35 = $4.35
The discounted selling price is $1.79.

Work: $2.99 × 0.40 = $1.20; $2.99 − $1.20 = $1.79
The total selling price of a box of 12 tubes is $195.00.

Work: $12.50 × 0.3 = $3.75; $12.50 + $3.75 = $16.25; $16.25 × 12 tubes = $195.00
The selling price is $4.85 per bottle.

Work: $111.60/36 = $3.10 (purchase price per bottle); $3.10 + $1.75 = $4.85
The markup amount is $3.90; the selling price is $19.50.

Work: $15.60 × 0.25 = $3.9; is $3.90 (markup amount); $15.60 + $3.90 = $19.50 (selling price)
The markup rate is 24.0%.

Work: $30.75 − $24.80 = $5.95; $5.95/$24.80 × 100; $5.95/$24.80 = 0.2399; 0.2399 × 100 = 23.99, rounded to 24.0%
The gross profit is $130.00.

Work: $650.00 − $520.00 = $130.00
The net profit for selling one tablet is $0.11. C

Work: $130/1,000 tablets = $0.13/tablet; $2.05/100 tablets = $0.02/tablet; $0.13/tablet − $0.02/tablet = $0.11/tablet
The pharmacy’s markup amount is $30.13; the pharmacy’s selling price is $150.63.

Work: $120.50 × 0.25 = $30.13 (markup amount); $120.50 + $30.13 = $150.63 (selling price)
The pharmacy’s markup amount is $3.60; the pharmacy’s selling price is $27.60.

Work: $24.00 × 0.15 = $3.60 (markup amount); $24.00 + $3.60 = $27.60 (selling price)
The pharmacy’s markup amount is $54.00; the pharmacy’s selling price is $254.00.

Work: $200.00 × 0.27 = $54.00 (markup amount); $200.00 + $54.00 = $254.00 (selling price)
The pharmacy’s markup amount is $5.78; the pharmacy’s selling price is $33.28.

Work: $27.50 × 0.21 = $5.78 (markup amount); $27.50 + $5.78 = $33.28 (selling price)
The pharmacy’s markup amount is $12.15; the pharmacy’s selling price is $79.65.

Work: $67.50 × 0.18 = $12.15 (markup amount); $67.50 + $12.15 = $79.65 (selling price)
The pharmacy’s markup amount is $268.80; the pharmacy’s selling price is $1,108.80.

Work: $840.00 × 0.32 = $268.80 (markup amount); $840.00 + $268.80 = $1,108.80 (selling price)
The pharmacy’s markup amount is $165.00; the pharmacy’s selling price is $715.00.

Work: $550.00 × 0.30 = $165.00 (markup amount); $550.00 + $165.00 = $715.00 (selling price)
The total amount the pharmacy spent on this shipment was $1,829.50; the amount the pharmacy made upon selling the items was $539.46; the overall markup rate for the entire shipment was 29%.

Work: $120.50 + $24.00 + $200.00 + $27.50 + $67.50 + $840.00 + $550.00 = $1,829.50 (total amount spent on shipment); $150.63 + $27.60 + $254.00 + $33.28 + $79.65 + 1,108.80 + $715.00 = $2,368.96; $2,368.96 − $1,829.50 = $539.46 (total amount for selling all items); $539.46/$1,829.50 × 100; $539.46/$1,829.50 = 0.2948; 0.2948 × 100 = 29.49 rounded to 29 or 29% (overall markup rate for entire shipment)

8.4 Problem Set

The reimbursement for this prescription based on AWP less than 13% is $14.18.

Work: $48.90 × 0.13 = $6.36; $48.90 − $6.36 = $42.54; $42.54/60 tablets = x/20 tablets; x = $14.18
The reimbursement for this prescription based on AWP less than 13% is $21.94.

Work: $84.07 × 0.13 = $10.93; $84.07 − $10.93 = $73.14; $73.14/100 tablets = x/30 tablets; x = $21.94
The reimbursement for this prescription based on AWP less than 13% is $2.63.

Work: $30.25 × 0.13 = $3.93; $30.25 − $3.93 = $26.32; $26.32/1,000 tablets = x/100 tablets; x = $2.63
The reimbursement for this prescription based on AWP plus 4% is $13.78.

Work: $120.68 × 0.04 = $4.83; $120.68 + $4.83 = $125.51; $125.51/500 = x/30 tablets; x = $7.53; $7.53 + $6.25 = $13.78
The reimbursement for this prescription based on AWP plus 4% is $31.07.

Work: $39.78 × 0.04 = $1.59; $39.78 + $1.59 = $41.37; $41.37/100 tablets = x/60 tablets; x = $24.82; $24.82 + $6.25 = $31.07
The reimbursement for this prescription based on AWP plus 4% is $226.38.

Work: $317.50 × 0.04 = $12.70; $317.50 + $12.70 = $330.20; $330.20/30 tablets = x/20 tablets; x = $220.13; $220.13 + $6.25 = $226.38
1. The pharmacy’s medication cost is $35.68.
  
  Work: $71.35/100 = x/50; x = $35.68
2. The reimbursement for this prescription is $41.43.
  
  Work: $35.68 + ($35.68 × 0.035) + $4.50 = $41.43
3. The gross profit for this prescription is $5.75.
  
  Work: $41.43 – $35.68 = $5.75
1. The pharmacy’s medication cost is $70.52.
  
  Work: $36.35 × 0.03 = $1.09; $36.35 − $1.09 = $35.26; $35.26 × 2 = $70.52
2. The reimbursement for this prescription is $76.34.
  
  Work: $72.70 + ($72.70 × 0.05) = $76.34
3. The gross profit for this prescription is $5.82.
  
  Work: $76.34 – $70.52 = $5.82
1. The pharmacy’s medication cost is $100.78.
  
  Work: $302.35/30 = x/10; x = $100.78
2. The reimbursement for this prescription is $104.76.
  
  Work: $100.78 – ($100.78 × 0.03) + $7.00 = $104.76
3. The gross profit for this prescription is $3.98.
  
  Work: $104.76 – $100.78 = $3.98
1. The pharmacy’s cost of the prescription is $70.41.
  
  Work: $117.35/50 = x/30; x = $70.41
2. The pharmacy will submit $76.52 to the insurance company for this prescription.
  
  Work: $70.41 + ($70.41 ×.03) + $4.00 = $76.52
3. The pharmacy’s profit for this prescription is $6.11.
  
  Work: $76.52 − $70.41 = $6.11
1. The pharmacy’s cost of the prescription is $16.00.
  
  Work: $85.35/80 = x/15; x = $16.00
2. The pharmacy will submit $16.72 to the insurance company for this prescription.
  
  Work: $16.00 + ($16.00 × 0.04) 5 = $16.72
3. The pharmacy’s profit for this prescription is $0.72.
  
  Work: $16.72 − $16.00 = $0.72
1. The total amount the HMO reimbursed for capitation fees is $1,860.00.
  
  Work: $310.00 × 6 = $1,860.00
2. The pharmacy’s purchase price for all prescriptions on this plan is $1,698.80.
  
  Work: $15.75 + $106.50 + $27.80 + $210.00 + $47.50 + $105.25 + $160.00 + $52.00 + $150.00 + $210.00 + $76.00 + $10.50 + $28.00 + $62.50 + $210.00 + $210.00 + $17.00 = $1,698.80
3. The pharmacy made a profit.
4. The pharmacy’s profit is $161.20.
  
  Work: $1,860.00 − $1,698.80 = $161.20
1. The pharmacy’s purchase price for all prescriptions on the plan is $1,698.80.
  
  Work: $15.75 + $106.50 + $27.80 + 210.00 + 47.50 + 105.25 + 160.00 + $52.00 + $150.00 + $210.00 + $76.00 + $10.50 + $28.00 + $62.50 + $210.00 + $210.00 + $17.00 = $1,698.80
2. The pharmacy will submit $1,783.76 for insurance reimbursement on this plan.
  
  Work: $1,698.80 + ($1,698.80 × 0.03) + ($2.00 × 17) = $1,783.76
3. The pharmacy made a profit.
4. The gross profit for this prescription is $84.96.
  
  Work: $1,783.76 − $1,698.80 = $84.96
5. The pharmacy made a profit of $76.24 under Mountain HMO’s capitation plan.
  
  Work: $161.20 − $84.96 = $76.24
1. The total amount of capitation fees reimbursed from the HMO to the pharmacy is $2,750.00.
  
  Work: $275.00 × 10 = $2,750.00
2. The pharmacy’s medication cost for all prescriptions on this plan is $800.87.
  
  Work: $89.63 + $126.54 + $420.45 + $117.50 + $46.75 = $800.87
3. The pharmacy made a profit.
4. The amount of the pharmacy’s profit is $1,949.13.
  
  Work: $2,750.00 − $800.87 = $1,949.13
1. The total amount of capitation fees reimbursed from the HMO to the pharmacy is $3,300.00.
  
  Work: a. $275.00 × 12 = $3,300.00
2. The pharmacy’s medication cost for all prescriptions on this plan is $538.55.
  
  Work: $78.26 + $75.23 + $25.48 + $128.46 + $21.86 + $61.89 + $41.20 + $16.59 + $5.80 + $3.87 + $21.67 + $58.24 = $538.55
3. The pharmacy made a profit.
4. The pharmacy’s profit is $2,761.45.
  
  Work: $3,300.00 − $538.55 = $2,761.45
1. The total amount reimbursed from the HMO to the pharmacy in August was $9,060.00.
  
  Work: $225.00 × 40 = $9,000.00; $9,000.00 + $60.00 = $9,060.00
2. The pharmacy made a profit.
3. The pharmacy’s profit was $7,192.50.
  
  Work: $9,060.00 − $1,867.50 = $7,192.50
1. The total amount reimbursed from the insurance company to the pharmacy in September was $9,049.50.
  
  Work: $210.00 × 42 = $8,820.00; $4.25 × 54 = $229.50; $8,820.00 + $229.50 = $9,049.50
2. The pharmacy lost money
3. The pharmacy’s loss was −$585.23.
  
  Work: $9049.50 – $9,634.73 = − $585.23

Chapter 8 Find Solutions

250-count bottle at $4.65 per bottle = $0.02 per capsule
one bottle
$4.65
The amount the HMO reimbursed the pharmacy was $19,105.00.

Work: $149.00 × 127 = $18,923.00; $3.50 × 52 = $182.00; $18,923.00 + $182.00 = $19,105.00.
$6,283.24
The pharmacy made a profit.
The pharmacy made a profit of $12,821.76.

Work: $19,105.00 – $6,283.24 = $12,821.76
$1,190,000
$1,404,200

Work: $1,190,000 × 0.18 = $214,200; $1,190,000 + $214,200 = $1,404,200
$1,582,700

Work: $1,190,000 × 0.33 = $392,700; $1,190,000 + $392,700 = $1,582,700
3

Work: $750,000/$238,000 = 3.15, round to 3
25.7%

Work: $1,601,489 – $1,190,000 = $411,489; $411,489/$1,601,489 = 25.7%
37.1%

Work: $1,891,692 – $1,190,000 = $701,692; $701,692/$1,891,692= 37.1%
$18.80

Work: ($200 – $12)/10 = $18.80
$5

Work: ($50 − $15)/7 = $5.00

Chapter 9

9.1 Problem Set

w/v = 10 g/100 mL
w/v = 0.45 g/100 mL
50 g

Work: 10% = 10 g/100 mL; 10 g/100 mL = x g/500 mL; x = 50 g
26 mg

Work: 2% = 2 g/100 mL = x g/1.3 mL; x = 0.026 g = 26 mg
4%

Work: 20 g/500 mL × 100 = 4%
15%

Work: 0.15 g/1 mL × 100 = 15%
3%

Work: 0.03 g/1 mL × 100 = 3%
0.5%

Work: 0.005 g/1 mL × 100 = 0.5%
0.2%

Work: 0.002 g/1 mL × 100 = 0.2%
1%

Work: 0.01 g/1 mL × 100 = 1%
2%

Work: 0.02 g/1 mL × 100 = 2%
87.5 g

Work: 3.5% = 3.5 g/100 mL = x g/2,500 mL; x = 87.5 g
100 g

Work: 10% = 10 g/100 mL = x g/1,000 mL; x = 100 g
0.9 g

Work: 0.9% = 0.9 g per 100 mL; 0.9 g
20 g

Work: 4% = 4 g/100 mL = x g/500 mL; x = 20 g
4.5 g

Work: 0.45% = 0.45 g/100 mL = x g/1,000 mL; x = 4.5 g
50 g

Work: 5% = 5 g/100 mL = x g/1,000 mL; x = 50 g
2 g

Work: 0.4% = 0.4 g/100 mL = x g/500 mL; x = 2 g
20 g

Work: 4% = 4 g/100 mL = x g/500 mL; x = 20 g
5 g

Work: 2% = 2 g/100 mL = x g/250 mL; x = 5 g
375 mg

Work: 7.5% = 7.5 g/100 mL = x g/5 mL; x = 0.375 g; x mg/0.375 g = 1,000 mg/1 g; x = 375 mg
250 mg

Work: 0.5% = 0.5 g/100 mL = x g/50 mL; x = 0.25 g; x mg/0.25 g = 1,000 mg/1g; x = 250 mg
5 mg

Work: 1% = 1 g/100 mL = x g/0.5 mL; x = 0.005 g; x mg/0.005 g = 1,000 mg/1 g; x = 5 mg
1 mg

Work: 0.1% = 0.1 g/100 mL = x g/1 mL; x = 0.001 g; x mg/0.001 g = 1,000 mg/1g; x = 1 mg
10 mg

Work: 0.2% = 0.2 g/100 mL = x g/5 mL; x = 0.01 g; x mg/0.01 g = 1,000 mg/1g; x = 10 mg
2.25 g

Work: 0.9 g/100 mL = x g/250 mL; x = 2.25 g
4.5 g

Work: 0.9 g/100 mL = x g/500 mL; x = 4.5 g
9 g

Work: 0.9 g/100 mL = x g/1,000 mL; x = 9 g
20.03 g

Work: 0.9 g/100 mL = x g/2,225 mL; x = 20.03 g
0.56 g

Work: 0.45 g/100 mL = x g/125 mL; x = 0.563, rounded to 0.56 g
1.13 g

Work: 0.45 g/100 mL = x g/250 mL; x = 1.125, rounded to 1.13 g
3.38 g

Work: 0.45 g/100 mL = x g/750 mL; x = 3.375, rounded to 3.38 g
8.1 g

Work: 0.45 g/100 mL = x g/1,800 mL; x = 8.1 g
11.7 g

Work: 0.45 g/100 mL = x g/2,600 mL; x = 11.7 g
3.75 g

Work: 5 g/100 mL = x g/75 mL; x = 3.75 g
19.25 g

Work: 5 g/100 mL = x g/385 mL; x = 19.25 g
26.25 g

Work: 5 g/100 mL = x g/525 mL; x = 26.25 g
67.5 g

Work: 5 g/100 mL = x g/1,350 mL; x = 67.5 g
10 g

Work: 10 g/100 mL = x g/100 mL; x = 10 g
32.5 g

Work: 10 g/100 mL = x g/325 mL; x = 32.5 g
45 g

Work: 10 g/100 mL = x g/450 mL; x = 45 g
87.5 g

Work: 10 g/100 mL = x g/875 mL; x = 87.5 g

9.2 Problem Set

v/v = 0.25 mL/100 mL
v/v = 2 mL/100 mL
v/v = 70 mL/100 mL
v/v = 99 mL/100 mL
200 mL

Work: 2 L × 1,000 mL/L × 10 mL/100 mL = 200 mL
10 mL

Work: 500 mL × 2 mL/100 mL = 10 mL
3.75 mL

Work: 50 mL × 7.5 mL/100 mL = 3.75 mL
3.75 mL

Work: 1,500 mL × 0.25 mL/100 mL = 3.75 mL
860.86 mL

Work: 946 mL × 91 mL/100 mL = 860.86 mL
682.5 mL

Work: 750 mL × 91 mL/100 mL = 682.5 mL
91 mL

Work: 100 mL × 91 mL/100 mL = 91 mL
68.25 mL

Work: 75 mL × 91 mL/100 mL = 68.25 mL
2.5 mL

Work: 1,000 mL × 0.25 mL/100 mL = 2.5 mL
0.94 mL

Work: 375 mL × 0.25 mL/100 mL = 0.94 mL
2.5 mL

Work: 500 mL × 0.5 mL/100 mL = 2.5 mL
3.75 mL

Work: 750 mL × 0.5 mL/100 mL = 3.75 mL
7.5%

Work: 75 mL/1,000 mL × 100 = 7.5%
15%

Work: 75 mL/500 mL × 100 = 15%
18%

Work: 90 mL/500 mL × 100 = 18%
6%

Work: 90 mL/1,500 mL × 100 = 6%

9.3 Problem Set

20 hr

Work: 1,000 mL/50 mL/hr = 20 hr
5 a.m.

Work: 1,000 mL/100 mL/hr = 10 hr; 10 hr from 7 p.m. is 5 a.m.
16.67 hr

Work: 500 mL/30 mL/hr = 16.666 rounded to 16.67 hr; or approximately 16 hr and 40 min
100 mL/hr

Work: 75 mL/45 min = x mL/60 min; x = 100 mL/hr
133 mL/hr

Work: 100 mL/45 min = x mL/60 min; x = 133 mL/hr
50 mL/hr

Work: 250 mL/5 hr = 50 mL/hr
300 mg/hr

Work: 1,500 mg/5 hr = 300 mg/hr
Rate is 50 mL over 60 min or 50 mL/hr
Dosage is 500 mg over 60 min or 500 mg/hr
100 mL/hr
10 hr

Work: 1,000 mL/100 mL/hr = 10 hr
3 IV bags

Work: 1 bag = 10 hr; 24/10 = 2.4; 2.4, rounded up to 3 IV bags
2 mEq/hr

Work: 20 mEq/10 hr = 2 mEq/hr
2 IV bags

Work: 1,000 mL/50 mL/hr = 20 hr; 24/20 = 1.2, rounded up to 2 IV bags
2 IV bags

Work: 1,000/75 mL/hr = 13.33 hr; 24/13.33 = 1.8, rounded up to 2 IV bags
3 IV bags

Work: 1,000 mL/100 mL/hr = 10 hr; 24/10 = 2.4, rounded up to 3 IV bags
3 IV bags

Work: 1,000 mL/120 mL/hr = 8.33 hr; 24/8.33 = 2.88, rounded up to 3 IV bags
3 IV bags

Work: 1,000 mL/125 mL/hr = 8 hr; 24/8 = 3 IV bags
4 IV bags

Work: 1,000 mL/130 mL/hr = 7.69 hr; 24/7.69 = 3.12, rounded up to 4 IV bags
4 IV bags

Work: 1,000 mL/150 mL/hr = 6.67 hr; 24/6.67 = 3.6, rounded up to 4 IV bags
5 IV bags

Work: 1,000 mL/175 mL/hr = 5.71 hr; 24/5.71 = 4.2, rounded up to 5 IV bags
5 IV bags

Work: 1,000 mL/200 mL/hr = 5 hr; 24/5 = 4.8, rounded up to 5 IV bags
6 IV bags

Work: 1,000 mL/225 mL/hr = 4.44 hr; 24/4.44 = 5.41, rounded up to 6 IV bags
1. 62.5 mL/hr
  
  Work: 250 mL/4 hr = 62.5 mL/hr
2. 62.5 mg/hr
  
  Work: 250 mg/4 hr = 62.5 mg/hr
1. 41.67 mL/hr
  
  Work: 500 mL/12 hr = 41.666, rounded to 41.67 mL/hr
2. 1,000,000 units/hr
  
  Work: 12,000,000 units/12 hr = 1,000,000 units/hr
1. 20 mL/hr
  
  Work: 4% = 4 g/100 mL = x g/500 mL; x = 20 g; 20 g = 20,000 mg; 20,000/500 = 40; 40 mg/1 mL = 800 mg/x mL; x = 20 mL/hr
2. 25 hr
  
  Work: 500 mL/20 mL/hr = 25 hr
1. 40 mL/hr
  
  Work: 250 mg/500 mL = 20 mg/x mL; x = 40 mL/hr
2. 12.5 hr
  
  Work: 20 mg/1 hr = 250 mg/x hr; x = 12.5 hr
1. 75 mL/hr
  
  Work: 500 mL/1600 mcg × 4 mcg/min × 60 min/1 hr = 75 mL/hr
2. 240 mcg/hr
  
  Work: 4 mcg/1 min = x mcg/60 min; x = 240; 240 mcg/hr
1. 20 mL
  
  Work: 200 mg/5 mL = 800 mg/x mL; x = 20 mL
2. 1.56 mL/hr
  
  Work: 5 mg/hr × 250 mL/800 mg = 1.56 mL/hr
1. 2 mg/kg × 176 lb/1 × 1 kg/2.2 lb × mL/40 mg = 4 mL
2. 100 mL/hr

9.4 Problem Set

1 gtt/min

Work: 10 mL/60 min × 10 gtts/mL = 1.67, rounded down to 1 gtt/min
35 gtts/min

Work: 35 mL/60 min × 60 gtts/mL = 35 gtts/min
16 gtts/min

Work: 100 mL/60 min × 10 gtts/mL = 16.66, rounded down to 16 gtts/min
100 gtts/min

Work: 60 gtts/mL × 50 mL/30 min = 100 gtts/min
5 gtts/min

Work: 15 gtts/mL × 500 mL/24 hr × 1 hr/60 min = 5.21, rounded down to 5 gtts/min
62 gtts/min

Work: 250 mL/60 min × 15 gtts/mL = 62.5, rounded down to 62 gtts/min
12 gtts/min

Work: 50 mL/60 min × 15 gtts/mL = 12.5, rounded down to 12 gtts/min
31 gtts/min

Work: 95 mL/60 min × 20 gtts/mL = 31.67, rounded down to 31 gtts/min
0.04 mEq/gtt

Work: 1 mL/10 gtts × 40 mEq/100 mL = 0.04 mEq/gtt
6 gtts/min

Work: 25 mL/60 min × 15 gtts/mL = 6.25, rounded down to 6 gtts/min
50 gtts/min

Work: 50 mL/60 min × 60 gtts/mL = 50 gtts/min
3 gtts/min

Work: 10 mL/60 min × 20 gtts/mL = 3.33, rounded to 3 gtts/min
0.03 mg/gtt

Work: mg/gtt = 450 mg/250 mL × 1 mL/60 gtts = 0.03 mg/gtt
0.0032 mg/gtt

Work: mg/gtt = 8 mg/250 mL × 1 mL/10 gtts = 0.0032 mg/gtt
4 gtts/min

Work: 25 mL/60 min × 10 gtts/mL = 4.17, rounded down to 4 gtts/min
0.00033 mgEq/gtt

Work: mEq/gtt = 10 mEq/500 mL × 1 mL/60 gtts = 0.00033 mgEq/gtt

9.5 Problem Set

1. 100 mg
  
  Work: 10 mg/1 mL = x mg/10 mL; x = 100 mg
2. 1 mL
  
  Work: 100 mg/mL = 1 mL
3. 9 mL
  
  Work: 10 mL − 1 mL = 9 mL
1. 50 mg
  
  Work: 10 mg/1 mL = x mg/5 mL; x = 50 mg
2. 1.25 mL
  
  Work: 40 mg/1 mL = 50 mg/x mL; x = 1.25 mL
3. 3.75 mL
  
  Work: 5 mL − 1.25 mL = 3.75 mL
1. 100 mg
  
  Work: 10 mg/1 mL = x mg/10 mL; x = 100 mg
2. 1 mL
  
  Work: 500 mg/5 mL = 100 mg/x mL; x = 1 mL
3. 9 mL
  
  Work: 10 mL − 1 mL = 9 mL
1. 5 mg
  
  Work: 1 mg/1 mL = x mg/5 mL; x = 5 mg
2. 1.25 mL
  
  Work: 4 mg/1 mL = 5 mg/x mL; 1 × 5 = 5; 5/4 = 1.25; x = 1.25 mL
3. 3.75 mL
  
  Work: 5 mL − 1.25 mL = 3.75 mL
1. 10 mg
  
  Work: 1 mg/1 mL = x mg/10 mL; x = 10 mg
2. 1 mL
  
  Work: 20 mg/2 mL = 10 mg/x mL; x = 1 mL
3. 9 mL
  
  Work: 10 mL − 1 mL = 9 mL
1. 107 mL of 70% dextrose
  
  Work: 500 mL/70% × 15% = 107.14 mL, rounded to 107 mL of 70% dextrose
2. 393 mL of SWFI 500 − 107 = 393 mL of SWFI
1. 400 mL of 50% dextrose
  
  Work: 2,000 mL/50% × 10% 400 mL of 50% dextrose
2. 1,600 mL of SWFI
  
  Work: 2,000 mL − 400 mL = 1,600 mL of SWFI
1. 200 mL of 50% dextrose
  
  Work: 1,000 mL/50% × 10% 200 mL of 50% dextrose
2. 800 mL of SWFI
  
  Work: 1,000 mL − 200 mL = 800 mL of SWFI
1. 120 mL of 50% dextrose
  
  Work: 750 mL/50% × 8% = 120 mL of 50% dextrose
2. 630 mL of SWFI
  
  Work: 750 mL − 120 mL = 630 mL of SWFI
1. 27 mL of 70% dextrose
  
  Work: 250 mL/70% × 7.5% = 26.79 mL, rounded to 27 mL of 70% dextrose
2. 223 mL of SWFI
  
  Work: 250 mL − 27 mL = 223 mL of SWFI
1. 364.29 mL of D₇₀W
  
  Work: 1,500 mL/70% × 17% = 364.29 mL of D₇₀W
2. 450.00 mL of Aminosyn 10%
  
  Work: 1,500 mL/10% × 3% = 450.00 mL of Aminosyn 10%
3. 187.50 mL of Liposyn 20%
  
  Work: 1,500 mL/20% × 2.5% = 187.50 mL of Liposyn 20%
4. 7.50 mL of sodium chloride
  
  Work: 20 mEq/L × 1.5 L = 30 mEq; 30 mEq/4 mEq/mL = 7.50 mL of sodium chloride
5. 11.25 mL of potassium chloride
  
  Work: 15 mEq/L × 1.5 L = 22.5 mEq; 22.5 mEq/2 mEq/mL = 11.25 mL of potassium chloride
6. 5.00 mL of potassium phosphate
  
  Work: 10 mM/L × 1.5 L = 15 mM; 15 mM/3 mM/mL = 5.00 mL of potassium phosphate
7. 1.50 mL of sodium phosphate
  
  Work: 3 mM/L × 1.5 L = 4.5 mM; 4.5 mM/3 mM/mL = 1.50 mL of sodium phosphate
8. 3.69 mL of magnesium sulfate
  
  Work: 10 mEq/L × 1.5 L = 15 mEq; 15 mEq/4.06 mEq/mL = mEq/mL 3.6946 rounded to 3.69 mL of magnesium sulfate
9. 10.00 mL of MVI
10. 459.27 mL of SWFI
  
  Work: SWFI QSAD to 1,500 mL; 364.29 + 450 + 187.5 + 7.5 + 11.25 + 5 + 1.5 + 3.69 + 10 = 1040.74
  
  1,500 − 1040.73 = 459.27 mL of SWFI
11. 1,500.00 mL
1. 321.43 mL of D₇₀W
  
  Work: 1500 mL/70% × 15% = 321.43 mL of D₇₀W
2. 600.00 mL of Amniosyn 10%
  
  Work: 1500 mL/10% × 4% = 600.00 mL of Aminosyn 10%
3. 225.00 mL of Liposyn 20%
  
  Work: 1500 mL/20% × 3% = 225.00 mL of Liposyn 20%
4. 9.38 mL of sodium chloride
  
  Work: 25 mEq/L × 1 L/1,000 mL × 1,500 mL × 1 mL/4 mEq = 9.38 mL of sodium chloride
5. 9.38 mL of potassium chloride
  
  Work: 12.5 mEq/L × 1 L/1,000 mL × 1,500 mL × 1 mL/2 mEq = 9.38 mL of potassium chloride
6. 5.00 mL of potassium phosphate
  
  Work: 10 mM/L × 1 L/1,000 mL × 1,500 mL × 1 mL/3 mM = 5.00 mL of potassium phosphate
7. 1.00 mL of sodium phosphate
  
  Work: 2 mM/L × 1 L/1,000 mL × 1,500 mL × 1 mL/3 mM = 1.00 mL of sodium phosphate
8. 3.69 mL of magnesium sulfate
  
  Work: 10 mEq/L × 1 L/1,000 mL × 1,500 mL × 1 mL/4.06 mEq = 3.69 mL of magnesium sulfate
9. 10.00 mL of MVI
10. 315.12 mL SWFI
  
  Work: SWFI QSAD to 1,500 mL; 1,500 mL − (321.43 mL + 600.00 mL + 225.00 mL 1 9.38 mL + 9.38 mL + 5.00 mL + 1.00 mL + 3.69 mL + 10.00 mL) = 315.12 mL sterile water
11. 1500.00 mL

Chapter 9 Find Solutions

60 mEq of potassium chloride

Work: 125 mL/hr × 24 hr/1 × 1 L/1,000 mL = 3 L; 20 mEq/L × 3 L = 60 mEq
150 g of dextrose

Work: 5 g/100 mL × 125 mL/hr × 24 hr/1 = 150 g
27 g of sodium chloride in 24 hr

Work: 0.9 g/100 mL × 125 mL/hr × 24 hr/1= 27 g
24 g of dextrose

Work: 5 g/100 mL × 20 mL/hr × 24 hr/1 = 24 g
960 mg of aminophylline

Work: 1,000 mg/500 mL × 20 mL/hr × 24 hr/1 = 960 mg
480 mL

Work: 20 mL/1 hr × 24 hr/1 = 480 mL
3 vials

Work: 1,500 mg/x vials = 500 mg/1 vial; x = 3 vials
0.3% w/v

Work: 100 mL/x g = 500 mL/1.5 g; x = 0.3 g; 0.3% w/v
This concentration is appropriate.

Work: Concentration is 1,500 mg/500 mL = 3 mg/mL; this concentration is appropriate since it is less than 5 mg/mL.
90 mins, or 1.5 hrs

Work: 1,500 mg/x mins = 500 mg/30 mins; x = 90 mins
16.7 mL/hr

Work: 0.5 mg/min × 250 mL/450 mg × 60 min/hr = 16.7 mL/hr
4 gtts/min

Work: 16.7 mL/hr × 15 gtts/mL × 1 hr/60 mins = 4.18 gtts/min
2 bags will be needed.

Work: 16.7 mL/hr × 18 hr/1 × 1 bag/250 mL = 1.2 bags, rounded up to 2 bags
0900 the next morning

Work: 250 mL/bag × 1 hr/16.7 mL = 14.97, rounded to 15 hr; so IV bag will need to be replaced after 15 hours, or at 0900 the next morning.
3,600.0 mL will be needed for 24 hours.

Work: 150 mL/1 hr = x mL/24 hr; x = 3,600.0 mL will be needed for 24 hours.
771.4 mL of D₇₀W

Work: 3,600 mL/70% × 15% = 771.4 mL of D70W
1,800.0 mL of Aminosyn 10%

Work: 3,600 mL/10% × 5% = 1,800.0 mL of Aminosyn
900.0 mL of Liposyn 10%

Work: 3,600 mL/10% × 2.5% = 900.0 mL of Liposyn
9.0 mL of NaCl

Work: 3,600 mL × 1 L/1,000 mL = 3.6 L; 10 mEq/L × 3.6 L = 36 mEq; 36 mEq/4 mEq/mL = 9.0 mL of NaCl
18.0 mL of KCl

Work: 10 mEq/L × 3.6 L = 36 mEq; 36 mEq/2 mEq/mL = 18.0 mL of KCl
2.2 mL of MgSO4

Work: 2.5 mEq/L × 3.6 L = 9 mEq; 9 mEq/4.06 mEq/mL = 2.2 mL of MgSO4
0.7 mL of insulin

Work: 20 units/L × 3.6 L = 72 units; 72 units/100 units/mL = 0.72 mL, rounded to 0.7 mL of insulin.
10.0 mL of MVIs
88.6 mL of SWFI

Work: 771.4 + 1,800.00 + 900.00 + 9.00 + 18.00 + 2.2 + 0.7 + 10.00 = 3,511.3; 3,600 − 3,511.3 = 88.7 mL of SWFI

A (higher %) 10		D (parts of higher %; the difference of B − C) 2
	B (desired %) 3
C (lower %) 1		E (parts of lower %; the difference of A − B) 7

10		2.5 parts of 10%
	7.5
5		2.5 parts of 5%

20		3 parts of 20%
	8
5		12 parts of 5%

70		7.5 parts of 70%
	12.5
5		57.5 parts of 5%

10		1 part of 10%
	6
5		4 parts of 5%