A batch of cookies was divided among 3 tins: 23 of all the cookies were placed in either the blue or the green tin, and the rest were placed in the red tin. If 14 of all the cookies were placed in the blue tin, what fraction of the cookies that were placed in the other tins were placed in the green tin?

A batch of cookies was divided among 3 tins:… | GMAT Sprint

Free Practice Question

PS · Problem Solving

705-805

Fractions/Ratios/Decimals

A batch of cookies was divided among 3 tins: $\frac{2}{3}$ of all the cookies were placed in either the blue or the green tin, and the rest were placed in the red tin. If $\frac{1}{4}$ of all the cookies were placed in the blue tin, what fraction of the cookies that were placed in the other tins were placed in the green tin?

Correct answer marked below

\frac{15}{2}

\frac{9}{4}

\frac{5}{9}

Correct

\frac{7}{5}

\frac{9}{7}

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Explanation

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Let total number of cookies = 12 (LCM of 3 and 4).

Cookies in Blue + Green tin =

\frac{2}{3} \times 12 = 8

.

Cookies in Red tin =

12 - 8 = 4

.

Cookies in Blue tin =

\frac{1}{4} \times 12 = 3

.…

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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.