SAT Ratios, rates, proportional relationships, and units Practice Question 14 (Medium)

Question bank / Ratios, rates, proportional relationships, and units

Math · Problem-Solving and Data AnalysisMedium

A doctor orders a medication dose of $15$ milligrams per kilogram of body weight. The medication is available as a liquid containing $250$ milligrams per $5$ milliliters. How many milliliters of the liquid should be given to a patient who weighs $40$ kilograms?

$2.4$

$12$

$30$

$120$

Show answer and explanation

Answer: B

The dose is $15 \times 40 = 600$ milligrams. The liquid contains $\frac{250}{5} = 50$ milligrams per milliliter. So the volume needed is $\frac{600}{50} = 12$ milliliters.

Choice D divides the $600$ -milligram dose by $5$ instead of by the concentration of $50$ milligrams per milliliter.

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