\(\frac{concentrate}{juice}=\frac{1}{4}\), 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.

Answer: A.
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1 can --->12 ounce (Orange Concentrate)
3(water Can)+1(Orange Concentrate) =12*4=48 ounce
total cans of concentrate needed=200*6/48=25

Hi Bunuel,

How do we know that the can is of 12-ounce? Because its given in the last sentence that how many 12-ounce cans are required. But its not given that the can of concentrate in the mixture: (1 can of concentrate + 3cans of water) is of 12-ounce.

Please clarify.
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Total juice prepared = 200*6 = 1200

Orange juice concentrate required\(= \frac{25}{100} * 1200 = 300\)

12 ounce jars required\(= \frac{300}{12} = 25\)

Answer = A
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Hi aj0809,

This question comes down to how you choose to organize your work and do the math (and there are several ways to approach the math, including TESTing THE ANSWERS). The individual "steps" involved aren't that tough, but you really have to stay organized to work through this question efficiently.

To start, we're given a "recipe" for making orange juice: 1 can of concentrate + 3 cans of water = 4 CANS of juice

Next, we're told that each "can" = 12 ounces. Combined with the prior info (above)....

1 can of concentrate + 3 cans of water = 4 cans of juice = 48 OUNCES of juice

We're told to make 200 6-ounce servings of juice, which is 200(6) = 1,200 ounces of juice. The question asks how many cans of CONCENTRATE are needed to get us 1,200 ounces (according to the recipe).

Since 1 can of concentrate --> 48 ounces of juice, we can do division to figure out the number of cans needed:

1200/48 = 25 cans of concentrate

Final Answer:

GMAT assassins aren't born, they're made,
Rich
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hi
you are correct in your approach..

An easier and less time consuming method would be..
we have to prepare 200 6-ounces of juice..
200 6-ounces is same as 100 12-ounces, since rae concentrate is in 12 ounces can..
we also know from 1:3 ratio that the concentrate forms 1/4 of this total..
1/4 of 100 = 25, this is the answer we are looking for..
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to make orange juice, ratio of concentrate : water = 1:3

therefore the concentrate will be 1/4 of the final solution

200, 6 ounce can be also written as 100, 12 ounce

out of 100 concentrate will be 1/4 * 100 =25.

option A
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Hi Nawz,

You bring up a fair point. However, the prompt does define "12-ounce can" as the 'unit of measurement' - so we're meant to infer that we're dealing with 12-ounce cans of everything. If you don't make that inference, then the question cannot be answered.

GMAT assassins aren't born, they're made,
Rich
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We are given that in order to make orange juice, 1 can of concentrate is used and 3 cans of water. Thus, we can set up the following ratio:

Concentrate: water = x : 3x

We need to determine how many cans of concentrate are needed to prepare 200 6-ounce servings of orange juice, or 200 x 6 = 1,200 ounces.

We can create the following equation to determine the number of ounces of concentrate needed:

x + 3x = 1,200

4x = 1,200

x = 300 ounces of concentrate is needed

Since there are 12 ounces per can, 300/12 = 25 cans are needed to make 1,200 ounces of orange juice.

Answer: A
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We know the ratio of concentrate to water is 1:3.

1x:3x = 4x Orange Juice

Now we are required to prepare 200 6 ounce servings of OJ

200 = 4x
x = 50

This means we need 50 cans of OG if we were using 6-ounce cans, SO we need to divide 50 by 2 to get 12-ounce cans = 25

Answer A