A trail mix contains peanuts, raisins, and almonds in a ratio... | SAT Ratios, rates, proportional relationships, and units Question, Answer Explained

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

Math · Problem-Solving and Data AnalysisMedium

A trail mix contains peanuts, raisins, and almonds in a ratio of $5:3:2$ by weight. A bag of the trail mix weighs $450$ grams. How many more grams of peanuts than almonds are in the bag?

$45$

$90$

$135$

$225$

Show answer and explanation

Answer: C

The ratio has $5 + 3 + 2 = 10$ parts, so each part weighs $\frac{450}{10} = 45$ grams. The bag has $5 \times 45 = 225$ grams of peanuts and $2 \times 45 = 90$ grams of almonds. The difference is $225 - 90 = 135$ grams.

Choice D is the weight of the peanuts alone, not how many more grams of peanuts there are than almonds.

Why the other choices are wrong

A. 45 grams is the weight of one part of the ratio, not the difference between peanuts and almonds.
B. 90 grams is the weight of the almonds, not how many more grams of peanuts there are.
D. 225 grams is the weight of the peanuts alone. Subtract the 90 grams of almonds.

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