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Master | Next Rank: 500 Posts
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by grandh01 » Mon Aug 06, 2012 5:32 pm
Four cups of milk are to be poured
into a 2-cup bottle and a 4-cup bottle.
If each bottle is to be filled to the
same fraction of its capacity, how
many cups of milk should be poured
into the 4-cup bottle?
(A)2/3
(B)7/3
(C)5/2
(D)8/3
(E) 3
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by Anurag@Gurome » Mon Aug 06, 2012 5:41 pm
grandh01 wrote:Four cups of milk are to be poured
into a 2-cup bottle and a 4-cup bottle.
If each bottle is to be filled to the
same fraction of its capacity, how
many cups of milk should be poured
into the 4-cup bottle?
(A)2/3
(B)7/3
(C)5/2
(D)8/3
(E) 3
Let x be the fraction of the capacity of each bottle, which is to be filled.
Then 2x + 4x = 4
6x = 4
x = 2/3

So, each bottle is to be filled to 2/3 of its capacity.
Hence, the 4-cup bottle should be filled with 4 * (2/3) = [spoiler]8/3[/spoiler] cups.

The correct answer is D.
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by truplayer256 » Mon Aug 06, 2012 6:35 pm
Let x cups be poured into the 2-cup bottle and 4 - x cups be poured into the 4-cup bottle.
It then follows that:
x/2 = (4 - x)/4

4x = 8 - 2x => x = 4/3

cups of milk poured in 4-cup bottle = 4 - 4/3 = 8/3

Choose D.
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