Green paint is made by mixing blue paint with yellow paint in a ratio of 2 to x. Turquoise paint is made by mixing green paint with blue paint in a ratio of y to 2. In terms of x and y, how many gallons of yellow paint are required to make 10 gallons of turquoise paint?

Correct answer marked below

\frac{10xy}{(x+2)(y+2)}

Correct

\frac{10xy}{(x+4)(y+2)}

\frac{20x}{y+2}

\frac{10(x+2)}{y+2}

\frac{x}{y} = \frac{2}{3}

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Explanation

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Official Explanation

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Ratio of Green and Blue in Turquoise paint = y : 2

Amount of green paint in 10 gallons of Turquoise paint =

\frac{y}{y + 2} * 10

Ratio of Blue and Yellow in Green paint = 2 : x…

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What this question tests

Your ability to convert between fractions, ratios, and decimals and to reason proportionally.

Cross-multiplying incorrectly or mixing up the ratio parts — a part:part ratio is not a fraction of the whole.