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 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

OA A

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AAPL wrote:
Wed Apr 14, 2021 9:22 am
GMAT Prep

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

OA A
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

Cheers,
Brent
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AAPL wrote:
Wed Apr 14, 2021 9:22 am
GMAT Prep

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

OA A
Solution:
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.
Alternate Solution:
According to the instructions, one 12 oz can will be mixed with 3 x 12 = 36 oz of water. Thus, each 12 oz can yields 12 + 36 = 48 oz of orange juice. To make 200 x 6 = 1,200 oz of orange juice, we need 1,200/48 = 25 cans.
Answer: A

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