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Jennifer has $400 more than Brian has. If she were to give Brian 20% o
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16 Dec 2021, 10:49
16 Dec 2021, 10:49
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Jennifer has $400 more than Brian has. If she were to give Brian 20% of her money, then Brian would have 2/3 of the amount of money that Jennifer would then have. How much money does Brian currently have (before exchanging money)?
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200
Re: Jennifer has $400 more than Brian has. If she were to give Brian 20% o
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16 Dec 2021, 19:52
16 Dec 2021, 19:52
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Jennifer has \($400\) more than Brian has.
\(J = B + 400\)
If she were to give Brian \(20\)% of her money, which is \(0.20( B + 400)\)
then Brian would have \(\frac{2}{3}\) of the amount of money that Jennifer would then have.
Brian will have \(B + 0.20( B + 400)\)
\(B + 0.20( B + 400) = \frac{2}{3}0.80(B + 400)\)
\(3(1.2B + 80) = 2(0.8B + 320)\)
\(3.6B + 240 = 1.6B + 640\)
\(2B = 400\)
\(B = 200\)
Answer 200
\(J = B + 400\)
If she were to give Brian \(20\)% of her money, which is \(0.20( B + 400)\)
then Brian would have \(\frac{2}{3}\) of the amount of money that Jennifer would then have.
Brian will have \(B + 0.20( B + 400)\)
\(B + 0.20( B + 400) = \frac{2}{3}0.80(B + 400)\)
\(3(1.2B + 80) = 2(0.8B + 320)\)
\(3.6B + 240 = 1.6B + 640\)
\(2B = 400\)
\(B = 200\)
Answer 200
gmatclubot
Re: Jennifer has $400 more than Brian has. If she were to give Brian 20% o [#permalink]
16 Dec 2021, 19:52
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