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
please solve
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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]
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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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).
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).
Rahul Lakhani
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Quant Expert
Gurome, Inc.
https://www.GuroMe.com
On MBA sabbatical (at ISB) for 2011-12 - will stay active as time permits
1-800-566-4043 (USA)
+91-99201 32411 (India)