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Prepare some Orange juice

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Prepare some Orange juice [#permalink] New post 25 Mar 2010, 22:55
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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: Prepare some Orange juice [#permalink] New post 26 Mar 2010, 00:21
ratio in which conc and water should be mixed is 1:3

first we will find amount of conc and water required to prepare 1 "6" ounce of orange juice

x+3x=6(as ratio is 1:3)
4x=6
so, x=1.5 i.e. for every 1.5 ounce of conc there will be 4.5 ounce of water.

we need to find for 200 servings, so it will come to 200*1.5= 300 ounce

total 12 ounce cans required will be 300/12 i.e. 25(ans)
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Re: Prepare some Orange juice [#permalink] New post 26 Mar 2010, 00:28
A.

Need to prepare 200 *6 ounces of juice --> 1200 ounces

Ratio of concentrate to water is 1:3.

To prepare 1200 ounces of juice, we need (1/4th of 1200)ounces of concentrate --> 300

1 can contains 12 ounces of concentrate --> 25 cans will contain 300 ounces of concentrate. Hence, A.

What is the OA ?
Re: Prepare some Orange juice   [#permalink] 26 Mar 2010, 00:28
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Prepare some Orange juice

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