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According to the directions on a can of frozen orange juice

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Director
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According to the directions on a can of frozen orange juice [#permalink]

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New post 02 Jun 2007, 17:18
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According to the directions on a can of frozen orange juice concentrate, 1can 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 6ounce servings of orange juice?

A. 25

B. 34

C. 50

D. 67


E. 100

Please explain
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 [#permalink]

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New post 02 Jun 2007, 17:40
Slight trick in this one.

1 can concentrate yields 4 of juice
12 ounce can will yield 48 ounces of juice

Total ounces of juice we need to make is 200 * 6 = 1200 ounces

therefore total cans required = 1200 / 48 = 25

Answer is Option A
Director
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Re: Real PS [#permalink]

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New post 02 Jun 2007, 17:44
LM wrote:
According to the directions on a can of frozen orange juice concentrate, 1can 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 6ounce servings of orange juice?

A. 25

B. 34

C. 50

D. 67


E. 100

Please explain



OKAY..I got it. I don't know why I got the wrong answer at the first place! Perhaps I wanted some short cut or some fast method to solve this question because I don't want to spend more than 2 minutes for this question during the real exam. Anyways..so here I explain my approach...

Orange : H2O : : 1 : 3

(Orange)/(H2O) = 1/3

The above is the ratio of orange concentrate to water in orange juice.

We need 200 servings of orange juice where each serving is of 6 ounce each.

Therefore the total amount of orange juice needed = (200*6)=1200ounce of orange juice.

Now we know the ratio of orange concentrate to water in orange juice is 1:3.

Therefore in 1200ounce of orange juice, we have

orange concentrate = (1/4)*1200 = 300ounce

So you need 300ounce of orange concentrate where each can constitutes 12 ounce.

Therefore the number of cans needed are (300/12) = 25 cans.

Therefore 25 is the answer.
Director
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 [#permalink]

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New post 02 Jun 2007, 17:48
bsd_lover wrote:
Slight trick in this one.

1 can concentrate yields 4 of juice
12 ounce can will yield 48 ounces of juice

Total ounces of juice we need to make is 200 * 6 = 1200 ounces

therefore total cans required = 1200 / 48 = 25

Answer is Option A


okay thanks! your approach is faster.

if I take once can of orange concentrate..... ( one can is 12 ounce )


Orange concentrate of 12 ounce means 36 ounce of water.

Therefore orange juice formed by one can of 12ounce is ( 12+36) = 48ounce.

But we need 1200ounce of juice ( 200*6=1200)

48 ounce from................1can.

1200ounce from............. (1/48)*1200 = 25cans.

Good this approach is better than mine!
  [#permalink] 02 Jun 2007, 17:48
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