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A sum of money is divided among three sisters. The first sister receiv

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A sum of money is divided among three sisters. The first sister receiv  [#permalink]

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New post 06 Mar 2020, 03:09
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A
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C
D
E

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Re: A sum of money is divided among three sisters. The first sister receiv  [#permalink]

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New post 06 Mar 2020, 03:24
Bunuel wrote:
A sum of money is divided among three sisters. The first sister receives 1/2 of the total, the second receives 1/4 of the total, and the third receives the remaining $10. How many dollars do the three sisters split?

(A) $10
(B) $20
(C) $30
(D) $40
(E) $50


Let Total = 400x
First = 200x
Second = (1/4)*400x = 100x
Third = 100x = 10

i.e. x = 1/10

i.e. Total = 400x = 400*(1/10 = 40

Answer: Option D
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Re: A sum of money is divided among three sisters. The first sister receiv  [#permalink]

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New post 06 Mar 2020, 03:33
Bunuel wrote:
A sum of money is divided among three sisters. The first sister receives 1/2 of the total, the second receives 1/4 of the total, and the third receives the remaining $10. How many dollars do the three sisters split?

(A) $10
(B) $20
(C) $30
(D) $40
(E) $50



First sister = \(\frac{(1*x)}{2}\)
second sister =\(\frac{(1*x)}{4}\)
third sister = \(\frac{(1*x)}{4}\) = 10
x = 40
Ans: D
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Re: A sum of money is divided among three sisters. The first sister receiv  [#permalink]

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New post 06 Mar 2020, 05:27
Bunuel wrote:
A sum of money is divided among three sisters. The first sister receives 1/2 of the total, the second receives 1/4 of the total, and the third receives the remaining $10. How many dollars do the three sisters split?

(A) $10
(B) $20
(C) $30
(D) $40
(E) $50


let total amount be X
so split would be ; x/2+x/4+ 10 = x
solve we get x= 40
IMO D
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Re: A sum of money is divided among three sisters. The first sister receiv  [#permalink]

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New post 09 Mar 2020, 03:39
Bunuel wrote:
A sum of money is divided among three sisters. The first sister receives 1/2 of the total, the second receives 1/4 of the total, and the third receives the remaining $10. How many dollars do the three sisters split?

(A) $10
(B) $20
(C) $30
(D) $40
(E) $50


Letting n = the total number of dollars, we can create the equation:

n/2 + n/4 + 10 = n

Multiplying by 4, we have:

2n + n + 40 = 4n

40 = n

Answer: D
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A sum of money is divided among three sisters. The first sister receiv  [#permalink]

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New post Updated on: 16 Mar 2020, 00:50
I picked the number from answer choice.

Lets say option C = 30

1st Sister gets 30/2 = 15
2nd Sister gets 30/4 = 7.5 (I'll stop right there as we dont want decimal as per answer choices)
3rd Sister gets 10

Total of these number will exceed 30 anyway

Now try with 40

1st Sis: 40/2 = 20
2nd Sis: 40/4 = 10
3rd Sis: 10

The total is also 40. Thats perfect! Option D
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Originally posted by Farina on 11 Mar 2020, 20:55.
Last edited by Farina on 16 Mar 2020, 00:50, edited 1 time in total.
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Re: A sum of money is divided among three sisters. The first sister receiv  [#permalink]

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New post 14 Mar 2020, 08:59
Bunuel wrote:
A sum of money is divided among three sisters. The first sister receives 1/2 of the total, the second receives 1/4 of the total, and the third receives the remaining $10. How many dollars do the three sisters split?

(A) $10
(B) $20
(C) $30
(D) $40
(E) $50


S1 + S2 + S3

x/2 + x/4 + 10 = x
(6x+80)/8 = x
80 = 2x
x = 40

The answer is D.
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Re: A sum of money is divided among three sisters. The first sister receiv  [#permalink]

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New post 14 Mar 2020, 15:07
1-(1/2p + 1/4P )
1-3/4P=1/4p =10 ( 10 is the remainder)
thus 40 is the answer

D

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Re: A sum of money is divided among three sisters. The first sister receiv   [#permalink] 14 Mar 2020, 15:07

A sum of money is divided among three sisters. The first sister receiv

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