GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 21 Oct 2019, 06:18

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel

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

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58421
Bob, Peter, and Stan are going to combine all their savings to invest  [#permalink]

Show Tags

New post 23 Jan 2019, 00:33
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

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

HideShow timer Statistics

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

Show Tags

New post 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
GMAT Club Legend
GMAT Club Legend
User avatar
D
Joined: 18 Aug 2017
Posts: 5026
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member
Re: Bob, Peter, and Stan are going to combine all their savings to invest  [#permalink]

Show Tags

New post 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
Senior Manager
Senior Manager
User avatar
P
Status: Gathering chakra
Joined: 05 Feb 2018
Posts: 434
Premium Member
Re: Bob, Peter, and Stan are going to combine all their savings to invest  [#permalink]

Show Tags

New post 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...)
GMAT Club Bot
Re: Bob, Peter, and Stan are going to combine all their savings to invest   [#permalink] 13 Apr 2019, 05:30
Display posts from previous: Sort by

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

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne