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GMAT Prep Question # 4

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by C Okigbo » Sun Jul 19, 2015 3:09 pm
2. According to the directions on a can of froze 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 concentrate are required to prepare 200-6 ounce servings of orange juice?

A) 25
B) 34
C) 50
D) 67
E) 100
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by Brent@GMATPrepNow » Sun Jul 19, 2015 4:05 pm
According to the direction 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 of the concentrate are required to prepare 2006-ounce serving of orange juice.

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

OAA
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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Brent
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by OptimusPrep » Mon Jul 20, 2015 8:01 pm
Given:
1 can on concentrate is to be mixed with 3 cans of water.
So we make 4 cans of juice by 1 can of concentrate

Required:
How many 12 ounce of concentrate required to prepare 200 6 ounce of juice.
To make our lives simpler, let us make 100 - 12 ounce serving of juice.

Solve:
From the given information, we know
1 can of concentrate makes 4 cans of juice.
Let the number of cans required be x

By applying the unitary method:

(No. of Cans of concentrate)/(No of Juice servings) = x/100 = 1/4
On Solving, we get x = 25
Hence A is the answer
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by [email protected] » Tue Jul 21, 2015 7:51 am
Hi C Okigbo

This question comes down to how you choose to organize your work and do the math - and there ARE several different ways to go about it. 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: A

As I mentioned earlier, there are a number of different ways to "do the math" on this question (and you can even TEST THE ANSWERS), so I'm sure that there will be other approaches mentioned by other posters.

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Rich
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by nikhilgmat31 » Wed Jul 29, 2015 3:50 am
Initially I make the ratio as 1:1 & come up with 100 as answer.

then I realized 1 can mixed with 3 cans of water to make 4 can of orange juice.

so to make 100 cans of orange juice we need 75 can of water 25 can of juice.

A
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