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GMAT PREP PS question

by alex.gellatly » Mon Apr 16, 2012 11:41 pm
According to the directions on a can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 3 cans of water to make orange juice. How many 12-ounce cans of the concentrate are required to prepare 200 6-ounce servings of orange juice?
(A) 25
(B) 34
(C) 50
(D) 67
(E) 100

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by Anurag@Gurome » Mon Apr 16, 2012 11:51 pm
alex.gellatly wrote:According to the directions on a can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 3 cans of water to make orange juice. How many 12-ounce cans of the concentrate are required to prepare 200 6-ounce servings of orange juice?
(A) 25
(B) 34
(C) 50
(D) 67
(E) 100

Thanks
Concentrate : juice = 1 : 4, since 1 part of concentrate is to be mixed with 3 parts of water to get 4 parts of juice.
200 6-ounce servings of orange juice = 100 12-ounce of orange juice

As 1/4 th 100 12-ounce of orange juice must be concentrate, so 100 * 1/4 = 25 12-ounce of cans of concentrate are required.

The correct answer is A.
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by Anurag@Gurome » Mon Apr 16, 2012 11:51 pm
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by aneesh.kg » Mon Apr 16, 2012 11:52 pm
200 6-ounce servings = 1200 ounces = 100 12-ounce cans.

Since the ratio of concentrate to water is 1:3, the concentrate is (1/4)th of the mixture.

(1/4)th of 100 cans = 25 cans, must be the concentrate.

Therefore, (A) 25 is the answer.
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