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 cans of the concentrate are required to prepate 200 6-ounce servings of orange juice?
A) 25
B) 34
C) 50
D) 67
E) 100
Official Answer is revealed later and the question is from GMAT official source
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Total = 200 6-ounce servings = 200*6 = 1200 ounces.sreenunna 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 orange juice. How many 12-ounce cans of the concentrate are required to prepate 200 6-ounce servings of orange juice?
A) 25
B) 34
C) 50
D) 67
E) 100
Official Answer is revealed later and the question is from GMAT official source
Since each can = 12 ounces, the total = 1200/12 = 100 cans.
In these 100 cans of mixture, since concentrate:water = 1:3 and 1+3=4, concentrate/total = 1/4.
Thus, in the 100 cans of mixture, the number of cans of concentrate = (1/4)100 = 25.
The correct answer is A.
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Here's a slightly different approach that uses equivalent ratios.sreenunna 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 orange juice. How many 12-ounce cans of the concentrate are required to prepate 200 6-ounce servings of orange juice?
A) 25
B) 34
C) 50
D) 67
E) 100
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. This is acceptable since 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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