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equations

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by beater » Thu Aug 28, 2008 12:55 am
A sum of $200,000 from a certain estate was divided among a spouse and three children. How much of the estate did the youngest child receive?

(1) The spouse received 1/2 of the sum from the estate, and the oldest child received 1/4 of the remainder.
(2) Each of the two younger children received $12,500 more than the oldest child and $62,500 less than the spouse.
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Source: — Data Sufficiency |
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Re: equations

by parallel_chase » Thu Aug 28, 2008 1:30 am
beater wrote:A sum of $200,000 from a certain estate was divided among a spouse and three children. How much of the estate did the youngest child receive?

(1) The spouse received 1/2 of the sum from the estate, and the oldest child received 1/4 of the remainder.
(2) Each of the two younger children received $12,500 more than the oldest child and $62,500 less than the spouse.
Statement I

It only tells about spouse and oldest child. Nothing about the youngest child.

Insufficient.

Statement II

y=older +12500
y= spouse - 62500

200000 = 2y + older + Spouse
200000 = 2y +y -12500 +y+62500

we can find the value of y i.e. the youngest child. Each of the youngest child gets the same amount.

Sufficient.

Hence B is the answer.
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Re: equations

by stern » Thu Aug 28, 2008 11:43 am
beater wrote:A sum of $200,000 from a certain estate was divided among a spouse and three children. How much of the estate did the youngest child receive?

(1) The spouse received 1/2 of the sum from the estate, and the oldest child received 1/4 of the remainder.
(2) Each of the two younger children received $12,500 more than the oldest child and $62,500 less than the spouse.
B alone is suff
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by beater » Fri Aug 29, 2008 3:58 am
parallel_chase = Appreciate the wonderful explanation!

OA = B. I wasnt thinking straight and ended up blowing this one. Thanks!
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