Carcass wrote:
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
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.
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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Brent Hanneson - founder of Greenlight Test PrepSign up for our GRE Question of the Day emails