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Ratio question: source Gmat Prep

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Ratio question: source Gmat Prep [#permalink] New post 19 Jan 2009, 17:50
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Hi guys, got this one in the gmat prep and it thoroughly confused me..

According to 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 require to prepare 200 6-ounce servings of orange juice?

a) 25
b) 34
c) 50
d) 67
e) 100

thoughts?
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Re: Ratio question: source Gmat Prep [#permalink] New post 19 Jan 2009, 20:57
ongste wrote:
Hi guys, got this one in the gmat prep and it thoroughly confused me..

According to 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 require to prepare 200 6-ounce servings of orange juice?

a) 25
b) 34
c) 50
d) 67
e) 100

thoughts?


A =25
1 oz concentrate + 3 oz ofwater = 4 oz jucie

300 oz concentrate +900 oz of waer = 1200 oz juice

no of cans==300/12=25
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Re: Ratio question: source Gmat Prep [#permalink] New post 19 Jan 2009, 21:55
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According to 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 require to prepare 200 6-ounce servings of orange juice?

a) 25
b) 34
c) 50
d) 67
e) 100

thoughts?


1 can of concentration + 3 cans of water = orange juice

if each can is 12 ounces

then 1 can of 12 ounce concentration + 3 cans of 12 ounce water = orange juice
so lets take the number of cans as x

12 x + 3x (12) = 200 x 6

12x + 36x = 1200

48 x = 1200

x = 1200 / 48

x = 25

answer is A.

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Re: Ratio question: source Gmat Prep [#permalink] New post 20 Jan 2009, 01:44
x2suresh wrote:
ongste wrote:
Hi guys, got this one in the gmat prep and it thoroughly confused me..

According to 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 require to prepare 200 6-ounce servings of orange juice?

a) 25
b) 34
c) 50
d) 67
e) 100

thoughts?


A =25
1 oz concentrate + 3 oz ofwater = 4 oz jucie

300 oz concentrate +900 oz of waer = 1200 oz juice

no of cans==300/12=25



Ratio of juice to water ===> 1:3
total 200*6 ounces
12 ounce juice cans ==> 1200/12 == 100*1/4 (ratio of jiuce to total) == 25
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Re: Ratio question: source Gmat Prep [#permalink] New post 20 Jan 2009, 09:13
I think the confusion stems from lack of total servings. However, it is clear to see that if 1 can is mixed with 3 cans, we get 4 can serving of Orange juice.
ongste wrote:
Hi guys, got this one in the gmat prep and it thoroughly confused me..

According to 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 require to prepare 200 6-ounce servings of orange juice?

a) 25
b) 34
c) 50
d) 67
e) 100

thoughts?

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Re: Ratio question: source Gmat Prep [#permalink] New post 06 Apr 2011, 07:26
why we are multiplying 200 by 6 to refer 200 6. I do not understand!
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Re: Ratio question: source Gmat Prep [#permalink] New post 06 Apr 2011, 19:37
here can of water , concentrate are of 12 ounces

and can of orange juice is 6 ounces

there are 200 cans of orange juice

so 12x +36x = 200*6 => x = 25.

Answer A.

Baten80 wrote:
why we are multiplying 200 by 6 to refer 200 6. I do not understand!
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Re: Ratio question: source Gmat Prep [#permalink] New post 06 Apr 2011, 19:41
200 6-ounce cans = 100 12-ounce cans

1 can of concentrate prepares - 4 cans of juice

Let # of 12-ounce cans/100 required = x

x + 3x = 100 (concentrate and water are in ratio 1:3)

=> x = 25

Answer - A
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Re: Ratio question: source Gmat Prep [#permalink] New post 07 Apr 2011, 09:51
IMO A

How many 12-ounce cans of the concentrate are require to prepare 200 6-ounce servings of orange juice?

200 * 6 = 1200 ounce servings..

Given concentrate : water = 1 : 3

So, x + 3x = 1200

solving, x = 300

So concentrate = 300 ounces.

In terms of 12 ounce cans = 300/12 = 25
Re: Ratio question: source Gmat Prep   [#permalink] 07 Apr 2011, 09:51
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