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# According to the directions on a can of frozen orange juice

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Director
Joined: 03 Sep 2006
Posts: 884
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Kudos [?]: 291 [0], given: 33

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

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CEO
Joined: 17 May 2007
Posts: 2994
Followers: 59

Kudos [?]: 484 [0], given: 210

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

Director
Joined: 03 Sep 2006
Posts: 884
Followers: 6

Kudos [?]: 291 [0], given: 33

Re: Real PS [#permalink]  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

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.

Director
Joined: 03 Sep 2006
Posts: 884
Followers: 6

Kudos [?]: 291 [0], given: 33

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

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!
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