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A widow received j of her husband's estate, and each of her

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A widow received j of her husband's estate, and each of her [#permalink] New post 24 Aug 2018, 15:23
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Question Stats:

33% (01:21) correct 66% (01:10) wrong based on 6 sessions
A widow received \(\frac{1}{3}\) of her husband's estate, and each of her three sons received \(\frac{1}{3}\) of the balance. If 3 the widow and one of her sons received a total of $60,000 from the estate, what was the amount of the estate?

(A) $90,000

(B) $96,000

(C) $108,000

(D) $135,000

(E) $180,000
[Reveal] Spoiler: OA

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Re: A widow received j of her husband's estate, and each of her [#permalink] New post 25 Aug 2018, 10:23
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Carcass wrote:
A widow received \(\frac{1}{3}\) of her husband's estate, and each of her three sons received \(\frac{1}{3}\) of the balance. If 3 the widow and one of her sons received a total of $60,000 from the estate, what was the amount of the estate?

(A) $90,000

(B) $96,000

(C) $108,000

(D) $135,000

(E) $180,000



Let the total amount be = \(X\)

Now the widow received = \(\frac{1}{3} * X = \frac{X}{3}\)

The remaining balance =\(X -\frac{X}{3} = \frac{{2X}}{3}\)

and each son received = \(\frac{1}{3} * \frac{2X}{3} = \frac{2X}{9}\)

Therefore

\(\frac{X}{3} + \frac{2X}{9} = 60000\)

or \(5X = 60000 * 9\)

or \(X = \frac{{60000 * 9}}{5} = $108,000\)

Hence option C
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Re: A widow received j of her husband's estate, and each of her   [#permalink] 25 Aug 2018, 10:23
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A widow received j of her husband's estate, and each of her

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