Sally has a gold credit card with a certain s… | GMAT Sprint

Free Practice Question

PS · Problem Solving

705-805

Fractions/Ratios/Decimals

Sally has a gold credit card with a certain spending limit, and a platinum card with twice the spending limit of the gold card. Currently, she has a balance on her gold card that is $\frac{1}{3}$ of the spending limit on that card, and she has a balance on her platinum card that is $\frac{1}{5}$ of the spending limit on that card. If Sally transfers the entire balance on her gold card to her platinum card, what portion of her limit on the platinum card will remain unspent?

Correct answer marked below

\frac{11}{30}

\frac{29}{60}

\frac{17}{30}

\frac{19}{30}

Correct

\frac{11}{15}

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Explanation

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Official Explanation

Official

Let the spending limit on the gold card be

G

. Then the spending limit on the platinum card is

2G

.

Gold card balance =

\frac{1}{3}G

.

Platinum card balance =

\frac{1}{5}(2G) = \frac{2}{5}G

.

Total balance after transfer =

\frac{1}{3}G + \frac{2}{5}G = \frac{5}{15}G + \frac{6}{15}G = \frac{11}{15}G

.…

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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.