Jennifer has 60 dollars more than Brian. If she were to give : GMAT Problem Solving (PS)
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# Jennifer has 60 dollars more than Brian. If she were to give

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

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16 Oct 2010, 12:49
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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, 01:22, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
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16 Oct 2010, 15:00
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.
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16 Oct 2010, 15:07
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

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16 Oct 2010, 15:14
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.
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16 Oct 2010, 15:16
shrouded1,

Sorry for repeating. We were probably writing at the same time.
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17 Oct 2010, 01:10
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)
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26 Dec 2013, 09:09
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!
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27 Dec 2013, 01:23
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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
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Re: Jennifer and Brian   [#permalink] 27 Dec 2013, 01:23
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