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Re: Jennifer has 60 dollars more than Brian. If she were to give [#permalink]
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Stoneface wrote:
This is how I did it. Could someone tell me if it is flawed or if you can do it this way?

J-60 = Brian's money
J(.2) = Amount given to Brian
J(.8) = Jennifer after giving away money
J(.75) = Percentage of Jennifer's money that Brian's is after she gave him .25 of her money

Brian + Money Jennifer gave to Brian = Jennifer's money after giving to brign * Percentage of Jennifer's money that Brian's money is equal to.

J-60+J(.2)=J(.8)(.75)
J-60+J(.2)=J(.6)
J-60=J(.6)-J(.2)
J-60=J(.4)
J-J(.4)=60
J(.6)=60
J=100


Your approach is correct, basically it's the same as mine: you just use decimals instead of fractions.
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Re: Jennifer has 60 dollars more than Brian. If she were to give [#permalink]
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assume B = x
J= x +60
1/5J = x/5 +12
J= 4/5X+48
B x+x/5+12
now 25/100*4/5x +25/100*48
x/5+12
implies 4/5x +48- x/5-12
implies 6/5x+12= 3/5X36
implies X = 40
we are looking for jenifer its x +60 so jenifier is 100
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Re: Jennifer has 60 dollars more than Brian. If she were to give [#permalink]
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My Way of doing it :-

Brian= x
Jenifer= 60+x
When jenifer gave one fifth of her money to brian ,then money with brian will be equal to 75% of the money that is remaining with Jenifer. So we can make the following equation :

x+1/5(60+x)= 75%[60+x-1/5(60+x)
Solve it and you will get:

x= 40
and amount with jenifer will be = 60+x
= 60+40= 100

I hope the simple explanation helps.
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Re: Jennifer has 60 dollars more than Brian. If she were to give [#permalink]
If B = x
J = B + 60 = x + 60 ----(1)

(75%)(4/5)(J) = B + (1/5)(J)

We get (2/5)*J = B ----(2)

Substitute (2) in (1)

J = 100; B = 40

I hope I am clear with the solution
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Re: Jennifer has 60 dollars more than Brian. If she were to give [#permalink]
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enigma123 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

I got the answer wrong and the correct answer is B. I worked to get to B but I have the doubt which I highlighted below. Why it will be 75% and not 25%?



You can do this question by assuming values too (as long as you know the situations in which you can assume values).
Start from the last step and work upwards.

"Brian would have 25% less than the amount that Jennifer would then have" - Say Jennifer has $100 after giving then Brian would have $75 (25% less than Jennifer).
Jennifer gave 1/5 of her money and was left with $100 so she must have had $125 to begin with. Since Brian now has $75, we must have had $50 to begin with. In this case, Jennifer has $75 more than Brian. But actually she has $60 more than Brian which is (4/5) of 75. So instead of $125, she has (4/5)*125 = $100 right now.

Answer (B)
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Re: Jennifer has 60 dollars more than Brian. If she were to give [#permalink]
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Quote:
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


We can let the amount of money Jennifer has = J and the amount of money that Brian has = B and create the equation:

J = B + 60

B = J - 60

If Jennifer gives 1/5 of her money to Brian, she would have:

(4/5)J

and Brian would have:

B + (1/5)J = J - 60 + (1/5)J

Since Brian would now have 25% less money than Jennifer, we have:

J - 60 + (1/5)J = (3/4)[(4/5)J]

J - 60 + (1/5)J = (3/5)J

Multiplying the equation by 5, we have:

5J - 300 + J = 3J

3J = 300

J = 100

Answer: B
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Re: Jennifer has 60 dollars more than Brian. If she were to give [#permalink]
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enigma123 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


Here's one approach:

Let J = Jennifer's $
Let B = Brian's $

Jennifer has 60 dollars more than Brian.
So, J = B + 60

If Jennifer were to give Brian 1/5 of her money, Brian would have 25% less than the amount that Jennifer would then have.
If Jennifer were to give Brian 1/5 of her money, then Jennifer has (4/5)J dollars, and Brian has B + (1/5)J dollars

If Brian has 25% less than the amount that Jennifer has, then Brian's amount = 3/4 Jennifer's amount.
So, we can write: (3/4)(4/5)J = B + (1/5)J
Simplify, to get (3/5)J = B + (1/5)J
Multiply both sides by 5 to get: 3J = 5B + J
Rearrange: 2J = 5B

We now have the system:
J = B + 60
2J = 5B

When we solve it, we get J = 100 (as well as B = 40)

Answer: B

Cheers,
Brent
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Re: Jennifer has 60 dollars more than Brian. If she were to give [#permalink]
Plugging in answer choices got me this question in 2 minutes. I started with 120, failed high, then chose 100, and was right.
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Re: Jennifer has 60 dollars more than Brian. If she were to give [#permalink]
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

This can be answered quicker if we assume values from the POV of Jennifer.
Stem: Jennifer has 60 dollars more than Brian implies Amount of money Jennifer has = J & Amount of money Brian has = J - 60
If she were to give Brian 1/5 of her money, Brian would have 25% less than the amount that Jennifer would then have.
So J - \(1/5J\) = J +\( 1/5J\) - 60
\(4/5J\) =\( 6/5J\) - 60
Now the second condition
\(6/5J\) - 60 =\( 3/4\)*\(4/5J\)
\(6/5J\) -\(3/5J \)= 60
\(3/5J\) = 60
J =\(300/3\) =100
B
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Re: Jennifer has 60 dollars more than Brian. If she were to give [#permalink]
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