A new tower has just been built at the Verbic… | GMAT Sprint

Free Practice Question

PS · Problem Solving

705-805

Fractions/Ratios/Decimals

A new tower has just been built at the Verbico military hospital; the number of beds available for patients at the hospital is now 3 times the number available before the new tower was built. Currently, 1/3 of the hospital's original beds, as well as 1/5 of the beds in the new tower, are occupied. For the purposes of renovating the hospital's original wing, all of the patients in the hospital's original beds must be transferred to beds in the new tower. If patients are neither admitted nor discharged during the transfer, what fraction of the beds in the new tower will be unoccupied once the transfer is complete?

Answer Choices

Correct answer marked below

11/30

29/60

17/30

19/30

Correct

11/15

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Explanation

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Official Explanation

Official

Let originally the number of beds =

x

.

After the new tower, the total combined number of beds =

3x

.

So old =

x

, New =

2x

.

Currently occupied:

-

\frac{1}{3}

x

are occupied in the old wing.

-

\frac{1}{5}

2x

are occupied in the new tower, which simplifies to

\frac{2}{5}x

.

We are shifting

\frac{1}{3}x

patients from the old wing to the new tower.…

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What this question tests

What it tests

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

Common trap

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