An alloy is made of three metals: copper, iron, and zinc, with prices per kg of $32, $17, and $36 respectively. These metals are mixed in the ratio x:y:z such that x, y, and z are in geometric progression and x < y < z. If the price of the alloy is $30 per kg, what would be the price per kg of the alloy if they are mixed in the ratio x:z:y?

Correct answer marked below

31.43

24.57

Correct

27.69

25.25

26.23

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What this question tests

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

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