SAT Ratios, rates, proportional relationships, and units Practice Question 9 (Medium)

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

Math · Problem-Solving and Data AnalysisMedium

A muffin recipe uses $\frac{2}{3}$ cup of oil to make $8$ muffins. At this rate, how many cups of oil are needed to make $30$ muffins?

$2$

$2.5$

$3$

$20$

Show answer and explanation

Answer: B

The amount of oil per muffin is $\frac{2}{3} \div 8 = \frac{1}{12}$ cup. For $30$ muffins, the oil needed is $30 \cdot \frac{1}{12} = 2.5$ cups.

Choice D multiplies $\frac{2}{3}$ by $30$ , treating $\frac{2}{3}$ cup as the oil for one muffin instead of for $8$ muffins.

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