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please solve

by ankurmit » Fri Jul 09, 2010 2:25 am
I am not able to make second equation

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?


40
100
120
140
180
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by italian7745 » Fri Jul 09, 2010 2:44 am
IMO B

Let the amount of money jennifer has be J and amount of money brian has be B

So, J-B = 100...(1)

If she were to give 1/5th of her money...which means

J -J/5 = B +J/5

2nd Part says...Brian would have 25% less than what jenifer has which means...after she gives money...

Brian = .75 Jenifer ....

So , B + J/5 = .75 (J-J/5)....(2)

Solving 1 & 2 ...we get [spoiler]J=100 ...B= 40...[/spoiler]
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by ankurmit » Fri Jul 09, 2010 2:54 am
Answer is right but u wrote wrong equation here :


It should be j-b =60--(1)

I also made minor mistake and got wrong answer with right equations :(
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by Rahul@gurome » Fri Jul 09, 2010 5:06 am
Let Jennifer has $J and Brian has $B.
Then, J = 60 + B
B + (1/5)J = [J - (1/5)J] - 25% of [J - (1/5)J]
B + (1/5)J = (4/5)J - (1/4)(4/5)J
B + (1/5)J = (3/4)(4/5)J
B = (2/5)J
Solving J = 60 + B and B = (2/5)J for J, we get, J = 60 + (2/5)J or (3/5)J = 60 or J = 100

The correct answer is (B).
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