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Mixture Problem that has me stumped

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by mipleo » Mon Jan 11, 2010 5:21 pm
So I got this question wrong on my GMATPrep Test. Can someone please explain it to me?

Here is the question:

For one can of concentrate, three cans of water are needed to make orange juice. How many 12 once cans are required to prepare 200 six once servings of orange juice?

I chose 100 and the answer was 25. :?: :?:
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by vittalgmat » Mon Jan 11, 2010 9:00 pm
From the question we can understand that the ratio of concentrate to water is 1:3. ie 25% of concenrtate is mixed with 75% of water to create 100% juice.

Now the problem asks for how many 12 ounce cans are needed to make 200 6 ounce cans. 200 6oz cans is same as 100 12oz cans.
So the problem reduces to "how many 12 oz cans are needed to make 100 12 oz cans of orange juice?"

Now it is very obvious that for 100 0z we need 25oz concenrtate and 75 oz water.

Ht Helps
-V
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by mipleo » Tue Jan 12, 2010 11:21 am
Wow! Thank you Vittalgmat! I definitely understand it now, and where I went wrong.
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