Question

your job as a pharmacy technician is to prepare prescriptions and double - check the dosage. a prescription for allergy treatment calls for a single dose of 0.30 milligrams of medicine for every 10 pounds of the body weight. every 5.0 milliliters of the liquid has 1.25 milligrams of medicine. how many milliliters should be prescribed for a 187 - pound adult?
a. 1.4
b. 5.6
c. 14
d. 22
e. 28

Explanation:

Step1: Calculate total medicine dosage

First, find out how many milligrams of medicine are needed for a 187 - pound adult. The dosage is 0.30 milligrams per 10 pounds. So, the total dosage $d$ in milligrams is $d=\frac{187}{10}\times0.30 = 18.7\times0.30=5.61$ milligrams.

Step2: Calculate volume of liquid

We know that every 5.0 milliliters of the liquid has 1.25 milligrams of medicine. Let the volume of the liquid be $V$. Then $V=\frac{5.61}{1.25}\times5$.
$V = 5.61\times\frac{5}{1.25}=5.61\times4 = 22.44\approx22$ milliliters.

Answer:

D. 22