According to the directions on a can of frozen orange juice concentrat : GMAT Problem Solving (PS)
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# According to the directions on a can of frozen orange juice concentrat

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

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19 Jan 2009, 17:50
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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 an orange juice. How many 12 ounce cans of concentrate are required to prepare 200 6-ounce servings of orange juice.

A. 25
B. 34
C. 50
D. 67
E. 100

OPEN DISCUSSION OF THIS QUESTION IS HERE: according-to-the-directions-on-a-can-of-frozen-orange-juice-101577.html
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Re: According to the directions on a can of frozen orange juice concentrat [#permalink]

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19 Jan 2009, 20:57
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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: According to the directions on a can of frozen orange juice concentrat [#permalink]

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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

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

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

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

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

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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.

Baten80 wrote:
why we are multiplying 200 by 6 to refer 200 6. I do not understand!
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Re: According to the directions on a can of frozen orange juice concentrat [#permalink]

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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

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

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

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26 Oct 2014, 13:16
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?

One easy way to get this done.

Conc:Water = 1:3
So, Conc. = 1\4 of Juice

We need to know about 12ounces of conc. i.e. 12x.
12x = 1\4 of 100. (200 6-ounce servings = 100 12-ounce servings)
12x = 25.
We need to find the value of 12x.
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Re: According to the directions on a can of frozen orange juice concentrat [#permalink]

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26 Oct 2014, 21:58
50 (6 ounce Con.) + 150 (6 ounce Water) = 200 (6 ounce Juice)

50 present in 6 ounce; so for 12 Ounce $$= 50 * \frac{6}{12} = 25$$

Moderators: Kindly update the OA, Thanks
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Re: According to the directions on a can of frozen orange juice concentrat [#permalink]

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27 Oct 2014, 00:26
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ongste wrote:
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 an orange juice. How many 12 ounce cans of concentrate are required to prepare 200 6-ounce servings of orange juice.

A. 25
B. 34
C. 50
D. 67
E. 100

$$\frac{concentrate}{juice}=\frac{1}{4}$$, as 1 part of concentrate is to be mixed with 3 parts of water to get 4 parts of juice;

200 6-ounce of orange juice = 100 12-ounce of orange juice;

As 1/4 th 100 12-ounce of orange juice must be concentrate --> 100*1/4=25 12-ounce of cans of concentrate are required.

OPEN DISCUSSION OF THIS QUESTION IS HERE: according-to-the-directions-on-a-can-of-frozen-orange-juice-101577.html
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Re: According to the directions on a can of frozen orange juice concentrat   [#permalink] 27 Oct 2014, 00:26
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