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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: 58421
Bob, Peter, and Stan are going to combine all their savings to invest  [#permalink]

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23 Jan 2019, 00:33
00:00

Difficulty:

35% (medium)

Question Stats:

69% (02:07) correct 31% (02:28) wrong based on 58 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

_________________
Intern
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, 02:22
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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Joined: 18 Aug 2017
Posts: 5026
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: Bob, Peter, and Stan are going to combine all their savings to invest  [#permalink]

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23 Jan 2019, 05:40
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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Status: Gathering chakra
Joined: 05 Feb 2018
Posts: 434
Re: Bob, Peter, and Stan are going to combine all their savings to invest  [#permalink]

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13 Apr 2019, 05:30
Set up ratio:

S = x
B = 2/3x
P = 2x

Pick and plug in a nice value (12 works here):

S = 12
B = 8
P = 24

Now, S is only (2/3)*12 = 9
So, 9/(8 + 24) = 9/32

Notice the trap answer E), which is what you would get if you input S's new investment of 9 instead of 12 for P and B (the prompt not so clearly says says that only S invested 2/3...)
Re: Bob, Peter, and Stan are going to combine all their savings to invest   [#permalink] 13 Apr 2019, 05:30
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