Check GMAT Club Decision Tracker for the Latest School Decision Releases https://gmatclub.com/AppTrack

 It is currently 24 May 2017, 09:39

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Jennifer has 60 dollars more than Brian. If she were to give

Author Message
TAGS:

### Hide Tags

Manager
Joined: 25 Jul 2010
Posts: 140
Followers: 1

Kudos [?]: 454 [0], given: 29

Jennifer has 60 dollars more than Brian. If she were to give [#permalink]

### Show Tags

16 Oct 2010, 13:49
1
This post was
BOOKMARKED
00:00

Difficulty:

45% (medium)

Question Stats:

70% (02:07) correct 30% (01:34) wrong based on 122 sessions

### HideShow timer Statistics

Jennifer has 60 dollars more than Brian. If she were to give Brian 1/5 of her money, Brian would have 25% less than the amount that Jennifer would then have. How much money does Jennifer have?

A. 40
B. 100
C. 120
D. 140
E. 180

OPEN DISCUSSION OF THIS QUESTION IS HERE: jennifer-has-60-dollars-more-than-brian-if-she-were-to-give-128899.html
[Reveal] Spoiler: OA

Last edited by Bunuel on 27 Dec 2013, 02:22, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
Manager
Joined: 03 Sep 2010
Posts: 75
Location: Israel
GMAT 1: 660 Q47 V34
GMAT 2: 670 Q48 V34
GPA: 3.2
WE: Operations (Non-Profit and Government)
Followers: 3

Kudos [?]: 33 [0], given: 2

### Show Tags

16 Oct 2010, 16:00
My preferred solution to the problem is plugging in.
Let's start from the middle (always good):
C. If J has 120 than B has 60. If she gives him 0.2 of her money she will have 0.8*120=96 and he will have 60+24=84. 84 is not 25% less than 96- Wrong answer.
B. 100-60=40. J=100, B=40. 100*0.8=80. After the change - J=80, B=40+20=60. 60 is 25% less than 80. 80/4=20 which is 25% of 80. Correct. Let's check D,E,A to be shur.
A. 40-60= -20. Thus impossible.
D.140-60=80. J=140, B=80. 140*0.8=112. After the change - J=112, B=80+28=108. 108 isn't 25% less than 112.
E. No need to check because 180 is larger than 140.
Retired Moderator
Joined: 02 Sep 2010
Posts: 803
Location: London
Followers: 110

Kudos [?]: 1020 [0], given: 25

### Show Tags

16 Oct 2010, 16:07
Orange08 wrote:
Jennifer has 60 dollars more than Brian. If she were to give Brian 1/5 of her money, Brian would have 25% less than the amount that Jennifer would then have. How much money does Jennifer have?

a) 40
b) 100
c) 120
d) 140
e) 180

Lets say Jennier has j and Brian has b dollars

j=b+60 (Jennifer has 60 dollars more than Brian)

b+j/5 = 75%*(4j/5) (If she were to give Brian 1/5 of her money, Brian would have 25% less than the amount that Jennifer would then have)
b+ j/5 = 3j/5
b=2j/5
Replace this in equation 1

j = 2j/5 + 60
3j/5 = 60
j=100

_________________
Manager
Joined: 19 Aug 2010
Posts: 76
Followers: 3

Kudos [?]: 27 [0], given: 2

### Show Tags

16 Oct 2010, 16:14
I use another calculation.
Let's assume Brain has X, Jennifer has x+60
After she gives him the money jeniffer has:
X+60-1/5(X+60)
and Brian has:
X+1/5(X+60)
-->X+1/5(X+60)=3/4(X+60-1/5(X+60))
After solving this equation X=40, hence Jennifer has 100. Answer should be B.

It would be even easier if we assume that Jennifer has X and Brian X-60, then we come directly to the asnwer 100, without risk of forgetting to add the 60 difference.
Manager
Joined: 19 Aug 2010
Posts: 76
Followers: 3

Kudos [?]: 27 [0], given: 2

### Show Tags

16 Oct 2010, 16:16
shrouded1,

Sorry for repeating. We were probably writing at the same time.
Manager
Joined: 25 Jul 2010
Posts: 140
Followers: 1

Kudos [?]: 454 [0], given: 29

### Show Tags

17 Oct 2010, 02:10
shrouded1 wrote:
Orange08 wrote:
Jennifer has 60 dollars more than Brian. If she were to give Brian 1/5 of her money, Brian would have 25% less than the amount that Jennifer would then have. How much money does Jennifer have?

a) 40
b) 100
c) 120
d) 140
e) 180

Lets say Jennier has j and Brian has b dollars

j=b+60 (Jennifer has 60 dollars more than Brian)

b+j/5 = 75%*(4j/5) (If she were to give Brian 1/5 of her money, Brian would have 25% less than the amount that Jennifer would then have)

For second equation,I mistakenly added 60 to Brian's amount as it was earlier told that Brian already had 60 dollars more than Jeniffer. something like we do in case of calculating ages.

b+60+j/5 = 75%*(4j/5)
Current Student
Joined: 06 Sep 2013
Posts: 2005
Concentration: Finance
Followers: 68

Kudos [?]: 643 [0], given: 355

### Show Tags

26 Dec 2013, 10:09
Orange08 wrote:
Jennifer has 60 dollars more than Brian. If she were to give Brian 1/5 of her money, Brian would have 25% less than the amount that Jennifer would then have. How much money does Jennifer have?

a) 40
b) 100
c) 120
d) 140
e) 180

Why isn't 'If she were to give Brian 1/5 of her money, Brian would have 25% less than the amount that Jennifer would then have...' equal to

B = 3/4(4/5)(J) ?

Thanks
Cheers!

Kudos rain!
J
Math Expert
Joined: 02 Sep 2009
Posts: 38856
Followers: 7724

Kudos [?]: 106003 [2] , given: 11602

### Show Tags

27 Dec 2013, 02:23
2
KUDOS
Expert's post
jlgdr wrote:
Orange08 wrote:
Jennifer has 60 dollars more than Brian. If she were to give Brian 1/5 of her money, Brian would have 25% less than the amount that Jennifer would then have. How much money does Jennifer have?

a) 40
b) 100
c) 120
d) 140
e) 180

Why isn't 'If she were to give Brian 1/5 of her money, Brian would have 25% less than the amount that Jennifer would then have...' equal to

B = 3/4(4/5)(J) ?

Thanks
Cheers!

Kudos rain!
J

Jennifer has 60 dollars more than Brian. If she were to give Brian 1/5 of her money, Brian would have 25% less than the amount that Jennifer would then have. How much money does Jennifer have?
A. 40
B. 100
C. 120
D. 140
E. 180

Jennifer has 60 dollars more than Brian --> J=B+60;

If Jennifer were to give Brian 1/5 of her money, she would have 4/5*J and Brian would have B+1/5*J=(J-60)+1/5*J;

After that Brian would have 25% less than the amount that Jennifer would then have, so Brian would have 100%-25%=75% (3/4th) of the amount that Jennifer would then have --> 3/4*(4/5*J)=(J-60)+4/5*J --> 3J/5=6J/5-60 --> 3J=6J-300 --> J=100.

Hope it's clear.

P.S. Notice that this question is a good candidate for backsolving.

OPEN DISCUSSION OF THIS QUESTION IS HERE: jennifer-has-60-dollars-more-than-brian-if-she-were-to-give-128899.html
_________________
Re: Jennifer and Brian   [#permalink] 27 Dec 2013, 02:23
Similar topics Replies Last post
Similar
Topics:
Donna has a 60 mile drive to a work conference. She begins driving at 1 27 Mar 2017, 03:31
5 Jennifer can buy watches at a price of B dollars per watch, which she 8 11 Jul 2016, 01:26
10 Lois has x dollars more than Jim has, and together they have 11 13 Apr 2017, 11:29
9 Jennifer has 60 dollars more than Brian. If she were to give 9 31 May 2016, 22:46
9 Erica has \$460 in 5-and 10-dollar bills only. If she has 9 12 Apr 2016, 23:37
Display posts from previous: Sort by