Question

a doctor asks a nurse to give a patient 160 milligrams (mg) of the drug simethicone. the drug is available only in a solution whose concentration is 50 mg simethicone per 0.6 milliliter (ml) of solution. how many milliliters of solution should the nurse give the patient?

□ milliliters of the simethicone solution should be given.
(simplify your answer.)

Explanation:

Step1: Set up proportion

Let $x$ be the volume of the solution in milliliters. We know that the concentration is 50 mg per 0.6 ml. So the proportion is $\frac{50}{0.6}=\frac{160}{x}$.

Step2: Cross - multiply

$50x = 160\times0.6$.

Step3: Calculate the right - hand side

$160\times0.6 = 96$, so $50x=96$.

Step4: Solve for $x$

$x=\frac{96}{50}=\frac{48}{25}=1.92$.

Answer:

$1.92$