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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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67% (01:31) correct 32% (02:28) wrong based on 46 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 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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Last edited by Ashgre on 01 Dec 2020, 22:20, edited 1 time in total.
Removed '3' from the 2nd sentence to make the question grammatically correct.
3 KUDOS received
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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] New post 01 Dec 2020, 12:26
The post is wrong and I'm posting here with the correct language from GMAT prep club



A widow received 1/3 of her husband's estate and each of her three sons received 1/3 of the balance. If the widow and one of her sons received a total of $60,000 from the estate, what was the value of the estate?

A. $90000
B. $108000
C. $180000
D. $240000
E. $300000
Intern
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Re: A widow received j of her husband's estate, and each of her [#permalink] New post 01 Dec 2020, 12:43
Lets Say, 1/3 means 33% of x
so, remaining percents is 67% of x
so, 33% of x + 1/3 of 67% of x = 60000

x= 108000
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Re: A widow received j of her husband's estate, and each of her [#permalink] New post 01 Dec 2020, 15:21
Expert's post
daina1323031 wrote:
The post is wrong and I'm posting here with the correct language from GMAT prep club



A widow received 1/3 of her husband's estate and each of her three sons received 1/3 of the balance. If the widow and one of her sons received a total of $60,000 from the estate, what was the value of the estate?

A. $90000
B. $108000
C. $180000
D. $240000
E. $300000


Maybe it is reported distorted in gmatclub. This is a question DIRECTLY from the Official Guides by ETS.

Hope is clear now
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Questions' Banks and Collection:
ETS: ETS Free PowerPrep 1 & 2 All 320 Questions Explanation. | ETS All Official Guides
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Books: All GRE Best Books
Scores: The GRE average score at Top 25 Business Schools 2020 Ed. | How to study for GRE retake and score HIGHER - (2020)
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Tests: GRE Prep Club Tests | FREE GRE Practice Tests [Collection] - New Edition (2021)
Vocab: GRE Prep Club Official Vocabulary Lists for the GRE (2021)

Re: A widow received j of her husband's estate, and each of her   [#permalink] 01 Dec 2020, 15:21
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