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# Container Y is 1/4 full of water and Container X, which has half the

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Math Expert
Joined: 02 Sep 2009
Posts: 58453
Container Y is 1/4 full of water and Container X, which has half the  [#permalink]

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10 Jan 2018, 23:42
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25% (medium)

Question Stats:

73% (00:52) correct 27% (01:23) wrong based on 39 sessions

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Container Y is 1/4 full of water and Container X, which has half the capacity of container Y, is 1/2 full. If all the water in Container X is poured into Container Y then Container Y will be filled to what percent of its capacity?

A. 100%
B. 50%
C. 30%
D. 25%
E. 12.5%

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Re: Container Y is 1/4 full of water and Container X, which has half the  [#permalink]

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10 Jan 2018, 23:49
Option B

Let the capacity of container Y be 100 litres. It is 1/4 full i.e., 25 litres
Capacity of X is 50 litres. it if half full i.e 25 litres.

When contents of X is poured into Y the new volume of Y is 25+25=50 litres.

Hence container Y is 50% full

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Re: Container Y is 1/4 full of water and Container X, which has half the  [#permalink]

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11 Jan 2018, 01:19
At the moment, container X and container Y has the same amount of water.
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Re: Container Y is 1/4 full of water and Container X, which has half the  [#permalink]

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18 Jan 2018, 08:48
Bunuel wrote:
Container Y is 1/4 full of water and Container X, which has half the capacity of container Y, is 1/2 full. If all the water in Container X is poured into Container Y then Container Y will be filled to what percent of its capacity?

A. 100%
B. 50%
C. 30%
D. 25%
E. 12.5%

Let’s say that container Y has a capacity of 8 gallons, and so container X will have a capacity of 4 gallons.

Thus, container Y has 1/4 x 8 = 2 gallons and container X has 1/2 x 4 = 2 gallons.

If X is poured into Y, Y is filled to 2 + 2 = 4 gallons or 4/8 = 1/2 = 50% of its capacity.

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Re: Container Y is 1/4 full of water and Container X, which has half the   [#permalink] 18 Jan 2018, 08:48
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