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Problem Solving Question

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Joined: 02 Nov 2009
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Schools: Columbia Business School '13
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Problem Solving Question [#permalink] New post 02 Nov 2009, 19:18
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78% (01:47) correct 22% (01:13) wrong based on 12 sessions
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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Re: Problem Solving Question [#permalink] New post 02 Nov 2009, 19:53
phillypointgod21 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


1 can of concentrate + 3 cans of water = 4 cans total

You need 200 6oz servings or 100 12oz servings (100 12oz cans). set up your ratio 1/4 = x/100

1/4 = concentrate/total

x/100 = concentrate/total

cross multiply and you get 4x = 100 and x = 25

A: 25
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Re: Problem Solving Question [#permalink] New post 02 Nov 2009, 23:05
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I guess the solution is similar to what i'd thought.. Ans should be A only.

ratio of concentrate and water is 1:3. total has to be 4.
to make 200, 6oz juice, or to make 1200 oz of juice, concentrate should be 300 or 25 cans of 12 oz each.
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Re: Problem Solving Question [#permalink] New post 17 Nov 2009, 23:36
Total ounces required = 1200
Now, in this we have concentrate volume of 1/4 * 1200 = 300

Therefore number of 12 ounce cans required = 300/12 = 25

Ans = 25
Re: Problem Solving Question   [#permalink] 17 Nov 2009, 23:36
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