Nurses use proportions to determine the amount of drug to administer when the do
ID: 3412206 • Letter: N
Question
Nurses use proportions to determine the amount of drug to administer when the dose of the drug is measured in mg, but the drug is packaged in a diluted form in mL. For example, to find the number of milliliters of fluid needed to administer 300 mg of a drug that comes packaged as 120 mg in 2 mL of fluid, a nurse sets up the proportion StartFraction 120 mg Over 2 mL EndFraction equals StartFraction 300 mg Over x mL EndFraction where x represents the amount to administer in milliliters. Use this method to find the correct dose for 125 mg of a drug packaged as 100 mg in 2-mL vials.
Explanation / Answer
The proportion of the dose of a drug by mg to the dose by ml is 100/2 or, 50/1. Thus for administering 60 mg of a drug, 1 ml of the drug has to be given. Let x ml be the volume of drug required for administering 125 mg of a drug. Then 50/1 = 125/x or, x = 125/50 = 2.5 ml. Thus, for administering 125 mg of a drug, 2 and a quarter vials of the drug have to be given.( A quarter of a vial of 2 ml is (1/4)*2 = 0.5 ml).
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