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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

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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

by Vincen » Mon May 18, 2020 6:53 am

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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

[spoiler]OA=A[/spoiler]

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Re: According to the directions on a can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 3

by Brent@GMATPrepNow » Mon May 18, 2020 2:23 pm
Vincen wrote: ↑
Mon May 18, 2020 6:53 am
 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

[spoiler]OA=A[/spoiler]

Source: GMAT Prep
The first part tells that, for every 1 can of concentrate, we can make 4 cans of juice.
Let's be even more generic, for 1 volume of concentrate, we can make 4 volumes of juice.

Okay, now notice that we have a problem with the volume mismatch in the question. It involves 12-ounce cans of concentrate and 6-ounce servings.
So, let's reword the question. Instead of making 200 6-ounce servings of juice, let's make 100 12-ounce servings of juice. We're still making the SAME AMOUNT OF JUICE.

We're now asking, "How many 12-ounce cans of the concentrate are required to prepare 100 12-ounce serving of orange juice?

We can solve this question using equivalent ratios.

We're comparing (volume of concentrate)/(volume of juice)

We get: 1/4 = x/100

Solve for x to get x=25

So, the answer is A

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Brent
Brent Hanneson - Creator of GMATPrepNow.com
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Re: According to the directions on a can of frozen orange juice concentrate, 1 can of concentrate is to be mixed with 3

by Scott@TargetTestPrep » Sun May 24, 2020 4:55 am
Vincen wrote: ↑
Mon May 18, 2020 6:53 am
 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

[spoiler]OA=A[/spoiler]

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
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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