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A $360,000 inheritance is split equally among three siblings. If one

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A $360,000 inheritance is split equally among three siblings. If one  [#permalink]

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New post 22 Jan 2019, 23:38
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A $360,000 inheritance is split equally among three siblings. If one of the siblings splits her share equally among herself and her three children, how much of the inheritance does each of the three children get?

A 22,500
B 30,000
C 40,000
D 90,000
E 120,000

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Re: A $360,000 inheritance is split equally among three siblings. If one  [#permalink]

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New post 22 Jan 2019, 23:48
Bunuel wrote:
A $360,000 inheritance is split equally among three siblings. If one of the siblings splits her share equally among herself and her three children, how much of the inheritance does each of the three children get?

A 22,500
B 30,000
C 40,000
D 90,000
E 120,000


Inheritance each siblings got = 360000/3 = 120000

Inheritance each children got = 120000/3 = 40000.

C is the correct answer.
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Re: A $360,000 inheritance is split equally among three siblings. If one  [#permalink]

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New post 23 Jan 2019, 01:05
Bunuel wrote:
A $360,000 inheritance is split equally among three siblings. If one of the siblings splits her share equally among herself and her three children, how much of the inheritance does each of the three children get?

A 22,500
B 30,000
C 40,000
D 90,000
E 120,000


The part for each sibling is 1/3 of the total inheritance.

Then one of the three siblings (thus 1/3) is split again into four equal parts (her three children AND herself) thus \(\frac{1}{3} * \frac{1}{4} = \frac{1}{12}\)
\(\frac{1}{12}*360,000 = 30,000\). Hence the answer is B.
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Re: A $360,000 inheritance is split equally among three siblings. If one  [#permalink]

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New post 23 Jan 2019, 04:28
Bunuel wrote:
A $360,000 inheritance is split equally among three siblings. If one of the siblings splits her share equally among herself and her three children, how much of the inheritance does each of the three children get?

A 22,500
B 30,000
C 40,000
D 90,000
E 120,000



360000/3 = 12,0000
12,0000/4 = 3,0000
IMO B
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Re: A $360,000 inheritance is split equally among three siblings. If one  [#permalink]

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New post 27 Jan 2019, 17:33
Bunuel wrote:
A $360,000 inheritance is split equally among three siblings. If one of the siblings splits her share equally among herself and her three children, how much of the inheritance does each of the three children get?

A 22,500
B 30,000
C 40,000
D 90,000
E 120,000


Each sibling initially gets 360,000/3 = $120,000.

Since 1 sibling splits her $120,000 portion equally among her 3 children and herself, each receives $120,000/4 = $30,000.

Answer: B
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Re: A $360,000 inheritance is split equally among three siblings. If one   [#permalink] 27 Jan 2019, 17:33
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