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According to the direction on a can of frozen orange juice

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According to the direction on a can of frozen orange juice [#permalink] New post 17 Dec 2005, 21:18
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According to the direction 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: GMAT Prep - PS Orange Juice [#permalink] New post 17 Dec 2005, 23:26
cool_jonny009 wrote:
TeHCM wrote:
According to the direction 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


A

12n+12*3*n=200*6
48*n=1200
n=25


I must be having brain freeze...could you explain 12n + 12*3*n ?
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 [#permalink] New post 18 Dec 2005, 10:17
1 part of Conc + 3 parts of Water --> 4 Parts of Orange Juice.

1 part of Conc ---> 4 Parts of Orange Juice

Lets assume 12 -ounce is 1 Part, then 200 6-ounces of Orange Juice= 100 parts of Orange Juice

x parts of Conc --> 100 Parts of Orange Juice

Thence x = 25
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Re: GMAT Prep - PS Orange Juice [#permalink] New post 21 Dec 2005, 13:31
TeHCM wrote:
cool_jonny009 wrote:
TeHCM wrote:
According to the direction 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


A

12n+12*3*n=200*6
48*n=1200
n=25


I must be having brain freeze...could you explain 12n + 12*3*n ?


TeHCM,

12n + 12*3*n = Total Quantity of Juice
12n = Conccentrate
12*3*n = Water (1 can of concentrate is to be mixed with 3 cans of water, so for "n" can of water its 3*n, Also the each can contail 12 oz.
So this 12n + 12*3*n adds up the total quantity.
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 [#permalink] New post 21 Dec 2005, 15:00
Clearly A

The ratio of diluted orance jiuce to concentrate is 4:1

so to make 200 6-ounce serving, we need (200 6-ounce)/4 =50 6-ounce
0r 25 12-ounce.
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 [#permalink] New post 22 Dec 2005, 00:02
1 can of concentrate -> 3 cans of water

200 6 ounce serving, so total = 200 * 6 = 1200 ounces

For 1 can, we have 12 ounce + 3*12ounces = 48 ounces of orange juice

# of cans = 1200/48=25
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 [#permalink] New post 18 Feb 2006, 05:38
4 ounce of orange juice has 3 ounce water , so 1200 (2*600) will have 900 ounce water

1200-900=300ounces of concentrate

300/12=25 cans
  [#permalink] 18 Feb 2006, 05:38
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