Mixture A consists of 45 percent ryegrass and 55 percent bluegrass by weight, while mixture B contains 30 percent ryegrass and 70 percent fescue. If a combination of A and B has 35 percent ryegrass, what percentage of the total weight of the mixture is A?

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Correct answer marked below

15%

25%

33,33%

Correct

45%

55%

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Official Explanation

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Mixture A is composed of 45 percent ryegrass and 55 percent bluegrass, while mixture B has 30 percent ryegrass and 70 percent fescue. We need to determine the percentage of mixture A in a combined mixture that contains 35 percent ryegrass. Let’s assume the total weight of the mixture is 100g. Therefore, the weight of ryegrass in the mixture is 35g. Let the weight of mixture A used be Ag,…

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Comments

AliOct 26, 2024

Love how you solved this

ElaMar 19, 2025

appreciated!

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.