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 Post subject: GMAT Algebra (Data Sufficiency)
PostPosted: Mon Sep 14, 2009 7:05 am 

Joined: Sun Apr 19, 2009 6:56 pm
Posts: 32
A pumpkin patch contains X pumpkins of 10 pounds each, and Y pumpkins of R pounds each. The average weight of the pumpkins is 12 pounds. What is the value of R?

(1) There are five more heavier pumpkins than lighter pumpkins.
(2) The weight in pounds of the heavier pumpkins is equal to their number

If we try to solve the 2 equation which we get after substitution, we do not
get a single answer but instead we get a pair of ans. Please resolve my doubt.

 Post subject: Re: Test 5, Question 21
PostPosted: Mon Sep 14, 2009 7:19 am 
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Joined: Mon Apr 06, 2009 5:44 pm
Posts: 81
10x +ry
10x + ry/ (r+y) = 12

(1) is insufficient since we dont know if the r's are heavier or lighter
(2) is insufficient since we havent values for x, r , or y

Because they tell you in the original statement that the average weight of a pumpkin is 12 pounds, you know that, since x pumpkins are 10 lbs each, it's y pumpkins that are heavier. Therefore, y = x + 5, because there are 5 heavier pumpkins than lighter ones. Still, however, that doesn't give you enough information, because we do not know the relationship between y and r. Statement (2) gives us that, by telling us that y = r. Now you can solve for r

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