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GMAT Prep Question # 2

Expert replies
by C Okigbo » Sun Jul 19, 2015 3:07 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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Source: — Problem Solving |

by Brent@GMATPrepNow » Sun Jul 19, 2015 4:00 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
Here's one approach:

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.

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

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

Cheers,
Brent
Brent Hanneson - Creator of GMATPrepNow.com
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by nikhilgmat31 » Wed Jul 29, 2015 5:17 am
1 juice can makes 4 cans of orange juice
x cans make 100 cans of orange juice.

x/100 = 1/4

x=25 cans are required.
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