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ps - capacity

by ccassel » Tue Apr 19, 2011 2:55 pm
How would you solve this question?

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

Answer is D
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by therealtomrose » Tue Apr 19, 2011 5:40 pm
First, determine what proportion should go in each cup. There are a total of 6 cups worth of capacity.

1/3 of this capacity (2 cups) is represented by the small cup. (2) / (6) = 1/3
2/3 of this capacity (4 cups) is represented by the large cup. (4) / (6) = 2/3

No matter what you are adding, you should be putting 1/3 of it into the small cup, and 2/3 into the large cup.

Since we are adding 4 cups. 2/3 of 4 will be the answer. (4) * (2/3) = 8/3

Hence, D
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by Anurag@Gurome » Tue Apr 19, 2011 7:55 pm
ccassel wrote:How would you solve this question?

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

Answer is D

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) = 8/3 cups.

The correct answer is D.
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by manpsingh87 » Tue Apr 19, 2011 9:44 pm
ccassel wrote:How would you solve this question?

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

Answer is D
2*x=4(4-x);
x=2(4-x);x=8-2x; 3x=8;x=8/3; hence answer should be D
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by GMATGuruNY » Wed Apr 20, 2011 3:20 am
ccassel wrote:How would you solve this question?

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

Answer is D
We can PLUG IN THE ANSWERS, which represent the amount of milk that should be poured into the 4-cup bottle.

Answer choice D: 8/3
Fraction filled of the 4-cup bottle = (8/3)/4 = 2/3.
Remaining milk to be poured into the 2-cup bottle = 4 - 8/3 = 4/3.
Fraction filled of the 2-cup bottle = (4/3)/2 = 2/3.
Success!

The correct answer is D.
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