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question 12
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you are to give 20,000 units of a drug. the bottle is labelled 50,000 units per 10 ml. you will give ml.
type your answer in decimal form if necessary, do not use fractions.
question 13
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the prescriber has ordered 0.3 mg of a drug to be given. the dose on hand is 100 mcg/ml. you will give ml
type your answer in decimal form if necessary, do not use fractions.
question 14
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the prescriber has ordered 0.04 g of a drug that is supplied in 8 mg tablets. you will give tablet(s).
type your answer in decimal form if necessary, do not use fractions.

Explanation:

Question 12

Step1: Set up proportion

Let \( x \) be the volume in mL. We have the proportion \(\frac{50000 \text{ units}}{10 \text{ mL}}=\frac{20000 \text{ units}}{x \text{ mL}}\)

Step2: Cross - multiply and solve for \( x \)

Cross - multiplying gives \( 50000x = 20000\times10 \). Then \( 50000x=200000 \). Dividing both sides by 50000, we get \( x=\frac{200000}{50000}=4.0 \)

Step1: Convert units

First, convert \( 0.3 \text{ mg} \) to mcg. Since \( 1 \text{ mg} = 1000 \text{ mcg} \), then \( 0.3 \text{ mg}=0.3\times1000 = 300 \text{ mcg} \)

Step2: Set up proportion and solve

Let \( y \) be the volume in mL. The proportion is \(\frac{100 \text{ mcg}}{1 \text{ mL}}=\frac{300 \text{ mcg}}{y \text{ mL}}\). Cross - multiplying gives \( 100y = 300\times1 \), so \( y=\frac{300}{100}=3.0 \)

Step1: Convert units

Convert \( 0.04 \text{ g} \) to mg. Since \( 1 \text{ g}=1000 \text{ mg} \), then \( 0.04 \text{ g}=0.04\times1000 = 40 \text{ mg} \)

Step2: Calculate number of tablets

Let \( z \) be the number of tablets. If each tablet is 8 mg, then \( z=\frac{40 \text{ mg}}{8 \text{ mg per tablet}} = 5.0 \)

Answer:

4.0

Question 13