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When 12 marbles are added to a rectangular aquarium, the water in the aquarium rises 1 1/2 inches...

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When 12 marbles are added to a rectangular aquarium, the water in the aquarium rises 1 1/2 inches...

by BTGmoderatorLU » Tue Feb 18, 2020 3:49 am
Source: Magoosh

When 12 marbles are added to a rectangular aquarium, the water in the aquarium rises 1 1/2 inches. In total, how many marbles must be added to the aquarium to raise the water 2 3/4 inches?

A. 16
B. 18
C. 20
D. 22
E. 24

The OA is D
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Re: When 12 marbles are added to a rectangular aquarium, the water in the aquarium rises 1 1/2 inches...

by Brent@GMATPrepNow » Tue Feb 18, 2020 11:31 am
BTGmoderatorLU wrote: ↑
Tue Feb 18, 2020 3:49 am
 Source: Magoosh

When 12 marbles are added to a rectangular aquarium, the water in the aquarium rises 1 1/2 inches. In total, how many marbles must be added to the aquarium to raise the water 2 3/4 inches?

A. 16
B. 18
C. 20
D. 22
E. 24

The OA is D
We can solve this question using equivalent ratios

We'll use the ratio: #of marbles/rise (in inches)

Let x = the number of marbles required to raise the water 2 3/4 inches (aka 2.75 inches).

We can write: 12/1.5 = x/2.75

Cross multiply to get: (1.5)(x) = (12)(2.75)
Simplify: 1.5x = 33
Solve: x = 33/1.5 = 22

Answer: D

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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