Plugging the options

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Thanks!

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Hi Shibsriz,

This question is essentially just about arithmetic.

We're told that 1 can = 12 ounces.

We're also told that 1 can of concentrate is mixed with 3 cans of water to make orange juice.
This means that 1 can of concentrate (12 ounces) + 3 cans of water (36 ounces) = 48 ounces of orange juice.

The prompt tells us to make 200 6-ounce servings of orange juice, so we need 1,200 ounces of orange juice. We're asked for the number of cans of CONCENTRATE that we'll need. The algebra leads to this:

48X = 1200

X = 1200/48 = 25

Final Answer: A

GMAT assassins aren't born, they're made,
Rich

[GMATGuruNY]

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

Since 200 6-ounce servings are to be prepared, the total volume to be prepared = 200*6 = 1200 ounces.
We can PLUG IN THE ANSWERS, which represent how many cans of concentrate are required.
For every 1 can of concentrate, 3 cans of water are required.

Answer choice C: 50 cans concentrate, implying 150 cans of water
Total number of cans = 50+150 = 200.
Total volume in 200 12-ounce cans = 200*12 = 2400 ounces.
Twice the required volume is yielded.
Thus, the correct answer choice must be half as great as answer choice C.

The correct answer is A.

[Brent@GMATPrepNow]

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

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