If 4 pounds of dried figs that cost x dollars per pound are combined with 3 pounds of raisins that cost y dollars per pound, what is the cost, in dollars, per pound of the mixture?

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Correct answer marked below

\frac{4x + 3y}{7}

Correct

\frac{4x + 3y}{x + y}

\frac{4x + 3y}{xy}

7(4x + 3y)

4x + 3y

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Explanation

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Official Explanation

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To find the cost per pound of the mixture, we calculate the total cost and divide it by the total weight. The total cost of the figs is 4x and the total cost of the raisins is…

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Comments

AvisekJan 27, 2025

Good question

YuSep 13, 2024

thanks for posting

What this question tests

What it tests

Your ability to reason about weighted averages and the composition of mixtures.

Common trap

Averaging the percentages of two solutions without weighting by their volumes.