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by NeilWatson » Sun Mar 30, 2014 4:31 pm

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According to the directions of a can of 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 required to make 200 6-ounce servings of orange juice?


I feel like this problem is pretty basic yet I couldn't seem to wrap my mind around it.
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by GMATGuruNY » Sun Mar 30, 2014 8:06 pm
According to the directions on a can of 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 required to prepare 200 6 ounce servings of orange juice.
A. 25
B. 34
C. 50
D. 67
E. 100
Ratio of concentrate to water = 1:3.
Thus, concentrate = 1/4 of the total.
Total juice to be prepared = 200*6 = 1200 ounces.
Amount of concentrate needed = 1/4 * 1200 = 300 ounces.
Number of cans needed = 300/12 = 25.

The correct answer is A.
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by Brent@GMATPrepNow » Sun Mar 30, 2014 8:22 pm
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 orange juice. How many 12-ounce can of the concentrate are required to prepare 200 6-ounces serving of orange juice?
a)25
b)34
c)50
d)67
e)100
This can be solved using equivalent ratios.
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'll solve this question using equivalent ratios.

(volume of concentrate)/(volume of juice): 1/4 = x/100

Solve for x to get [spoiler]x=25[/spoiler]
So, the answer is A

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by [email protected] » Mon Mar 31, 2014 12:07 am
Hi NeilWatson,

This "math" behind this question can be tackled in a number of ways, as Mitch and Brent have presented. Here's another way to do it.

We're told that 1 can of concentrate needs to be mixed with 3 cans of water to make orange juice. We're told that we're dealing with 12-ounce cans.

So 1 can of concentrate (12 ounces) is mixed with 3 cans of water (3x12 = 36 ounces)...

Thus, 1 can of concentrate will lead to 12+36 = 48 ounces of orange juice.

We're asked to create 200 6-ounce servings of juice. 200x6 = 1200 total ounces of juice. We're asked how many cans of concentrate will be needed...

1200/48 = 25

Final Answer: A

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by Sheehan951 » Wed Sep 05, 2018 3:47 am
My approach -->
Since the ratio of concentrate to water is 1:3 so in a can of 12 ounce concentrate the water required will be 12 * 3= 36 ounce
So therefore if there are "ËœX' cans of 12- ounces then the juice will be
(12+36) * X which is the required quantity.
i.e
48 * x = 200 * 6
So X= 25
McDVOICE
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Re:

by pipahaha » Sun May 23, 2021 8:41 pm
[
Since the ratio of concentrate to water is 1:3 so in a can of 12 ounce concentrate the water required will be 12 * 3= 36 ounce
So therefore if there are "ËœX' cans of 12- ounces then the juice will be
(12+36) * X which is the required quantity.
i.e
48 * x = 200 * 6
So X= 25

[/quote]
i agree,Thank you very much for sharing!
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