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%?If we denote the amount of money owned by Jennifer as j and that owned by Brian as b, we can create two equations based on the information in the problem. First, Jennifer has 60 dollars more than Brian: j = b + 60.

Second, if she were to give Brian 1/5 of her money, she would have j – (1/5)j = (4/5)j dollars. Brian would then have b + (1/5)j dollars. Therefore, since Brian’s amount of money would be

75% of Jennifer’s, we can create another equation: b + (1/5)j = (0.75)(4/5)j, which can be simplified as follows:

b + (1/5)j = (0.75)(4/5)j

b + (1/5)j = (3/4)(4/5j)

b + (1/5)j = (3/5)j

b = (3/5)j – (1/5)j

b = (2/5)j

Substitute this expression for b back into the first equation, then solve for j:

j = b + 60

j = (2/5)j + 60

j – (2/5)j = 60

(3/5)j = 60

j = (60)(5/3) = 100

Therefore, Jennifer has 100 dollars.

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Best Regards,

E.

MGMAT 1 --> 530

MGMAT 2--> 640

MGMAT 3 ---> 610