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# Bob, Peter, and Stan are going to combine all their savings to invest

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Math Expert
Joined: 02 Sep 2009
Posts: 53066
Bob, Peter, and Stan are going to combine all their savings to invest  [#permalink]

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22 Jan 2019, 23:33
00:00

Difficulty:

25% (medium)

Question Stats:

71% (02:16) correct 29% (02:34) wrong based on 18 sessions

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Bob, Peter, and Stan are going to combine all their savings to invest in a business. The amount of money in Bob’s savings is 2/3 of the amount in Stan’s savings. The amount in Peter’s savings is double the amount in Stan’s savings. If Stan decides to invest only 3/4 of his savings into the business, then the amount that Stan invests will be what fraction of the amount that Bob and Peter invest combined?

A 1/8
B 9/44
C 1/4
D 9/32
E 3/8

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Joined: 12 Dec 2018
Posts: 2
Re: Bob, Peter, and Stan are going to combine all their savings to invest  [#permalink]

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23 Jan 2019, 01:22
Bunuel wrote:
Bob, Peter, and Stan are going to combine all their savings to invest in a business. The amount of money in Bob’s savings is 2/3 of the amount in Stan’s savings. The amount in Peter’s savings is double the amount in Stan’s savings. If Stan decides to invest only 3/4 of his savings into the business, then the amount that Stan invests will be what fraction of the amount that Bob and Peter invest combined?

A 1/8
B 9/44
C 1/4
D 9/32
E 3/8

Stated as B=Bob's savings; P=Peter's savings; S=Stan's savings.
Thus as stated in the stem of the question: $$B=\frac{2}{3}S$$ and $$P=2S$$.

Stan invests $$\frac{3}{4}$$ of his savings thus $$\frac{3}{4}S$$.
The amount that Bob and Peter invest together is $$\frac{2}{3}S+2S=\frac{8}{3}S$$.

The fraction is $$\frac{3}{4}*\frac{3}{8}$$ is equal to $$\frac{9}{32}$$. Answer D
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Re: Bob, Peter, and Stan are going to combine all their savings to invest  [#permalink]

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23 Jan 2019, 04:40
Bunuel wrote:
Bob, Peter, and Stan are going to combine all their savings to invest in a business. The amount of money in Bob’s savings is 2/3 of the amount in Stan’s savings. The amount in Peter’s savings is double the amount in Stan’s savings. If Stan decides to invest only 3/4 of his savings into the business, then the amount that Stan invests will be what fraction of the amount that Bob and Peter invest combined?

A 1/8
B 9/44
C 1/4
D 9/32
E 3/8

b= 2s/3
p=2s
s= s3/4

3s/4 / 2s+2s/3

=> 9/32
IMO D
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Re: Bob, Peter, and Stan are going to combine all their savings to invest   [#permalink] 23 Jan 2019, 04:40
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