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
I bacsolved with this and didnt get very far.
Can you show me a way.
qa is b
backsolving
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I think backsolving is a good way to do this. Note that you can skip answer choice A because that would mean Brian has negative dollars!
Let's look at B, then. I would usually choose to start with C, but since $100 is easy to work with, I did that first.
If Jennifer has $100, Brian then has $40. If Jennifer gives up 1/5 of her money ($20), she'll have $80 and Brian will have $60.
Since Brian now has 25% less than Jennifer now has, B is the right answer.
Let's look at B, then. I would usually choose to start with C, but since $100 is easy to work with, I did that first.
If Jennifer has $100, Brian then has $40. If Jennifer gives up 1/5 of her money ($20), she'll have $80 and Brian will have $60.
Since Brian now has 25% less than Jennifer now has, B is the right answer.
Jim S. | GMAT Instructor | Veritas Prep