NEW HERE? LEARN MORE
closeclose
Last visit was: 25 Apr 2024, 23:55 It is currently 25 Apr 2024, 23:55
Decision Tracker
My Rewards
New posts
New comers' posts

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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

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

SORT BY:
Date
Kudos
Tags:
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 92914
Own Kudos [?]: 619075 [1]
Given Kudos: 81595
Send PM
CAT Tests Forum Quiz Mode
Bob, Peter, and Stan are going to combine all their savings to invest [#permalink] New post   23 Jan 2019, 00:33
1
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

35% (medium)

Question Stats:

72% (02:05) correct 28% (02:19) wrong based on 97 sessions
Hide Show 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
ShowHide Answer
Official Answer
D
avatar
B
julesn
Intern
Intern
Joined: 12 Dec 2018
Posts: 2
Own Kudos [?]: 0 [0]
Given Kudos: 10
Send PM
Re: Bob, Peter, and Stan are going to combine all their savings to invest [#permalink] 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
User avatar
L
Archit3110
GMAT Club Legend
GMAT Club Legend
Joined: 18 Aug 2017
Status:You learn more from failure than from success.
Posts: 8019
Own Kudos [?]: 4098 [0]
Given Kudos: 242
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1:
545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy and Utilities)
Send PM
GMAT ToolKit User CAT Tests
Re: Bob, Peter, and Stan are going to combine all their savings to invest [#permalink] 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
User avatar
P
energetics
Senior Manager
Senior Manager
Joined: 05 Feb 2018
Posts: 312
Own Kudos [?]: 794 [0]
Given Kudos: 325
Send PM
Re: Bob, Peter, and Stan are going to combine all their savings to invest [#permalink] 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
gmatclubot
Re: Bob, Peter, and Stan are going to combine all their savings to invest [#permalink]
13 Apr 2019, 05:30
Moderators:
Bunuel
Math Expert
92915 posts
yashikaaggarwal
Senior Moderator - Masters Forum
3137 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne
Main navigation
GMAT Resources
Partners
MBA Resources
www.gmac.com|www.mba.com | | GMAT Club Rules | Terms and Conditions