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Gmat Prep Question Help

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Intern
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Gmat Prep Question Help [#permalink]

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New post 15 Mar 2009, 06:41
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Q:
The number of stamps that Kaye and Alberto had respectively were in the ratio 5:3. After Kaye gave Alberto 10 of her stamps, the ratio went to 7:5. As a result of this gift, Kaye had how many more stamps than Alberto?

Friends,

I always get 50 as the difference when i solve for A (which is wrong), yet, i get 40 as the difference when i solve for K (which is right). i know mathematically they should yield the same result...can somone show me how to get the answer by first solving for A

Thx

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Re: Gmat Prep Question Help [#permalink]

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New post 15 Mar 2009, 07:02
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The answer is 40.
K has 140 stamps and A has 100 stamps.

Lets find out how:
Suppose initially K has 5x and A has 3x stamps to make the ratio 5:3.
After K gave 10 of her stamps to A, K left with 5x-10 and A with 3x+10 stamps.
Now their ratio reached 7:5, hence (5x-10)/(3x+10) = 7/5.
After cross multiplying, 5(5x-10) = 7(3x+10)
or, 25x-50 = 21x+70
or, 4x = 120
or, x = 30

So, K left with 5x-10, i.e 5*30-10 = 140 stamps
and A left with 3x+10, i.e 3*30+10 = 100 stamps
hence the difference between their stamps = 140-100 = 40 stamps

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Re: Gmat Prep Question Help   [#permalink] 15 Mar 2009, 07:02
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