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Suzie has $300 more than Eric has

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momspaghetti
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Suzie has $300 more than Eric has [#permalink] New post   14 Jul 2020, 08:22
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Suzie has $300 more than eric has. if suzie were to give eric 10% of her money than eric wold have 2/3 of the amount suzie would then have. How much money does eric currently have (before exchanging the money)?


Saw this on a Manhattan Prep blog and cannot find the answer anywhere!
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Re: Suzie has $300 more than Eric has [#permalink] New post   14 Jul 2020, 09:43
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Please provide the OA
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momspaghetti
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Re: Suzie has $300 more than Eric has [#permalink] New post   14 Jul 2020, 10:24
Unfortunately, I do not know what the OA is.
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Re: Suzie has $300 more than Eric has [#permalink] New post   16 Jul 2020, 08:21
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momspaghetti wrote:
Suzie has $300 more than eric has. if suzie were to give eric 10% of her money than eric wold have 2/3 of the amount suzie would then have. How much money does eric currently have (before exchanging the money)?


Saw this on a Manhattan Prep blog and cannot find the answer anywhere!


Let S be amount Suzie has, and E amount Eric has
from first sentence, S= E + 300

from second sentence (2/3)(0.9S) = E + 0.1xS

replacing S by E+300 in the second equation, you get E=300
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Re: Suzie has $300 more than Eric has [#permalink] New post   22 Jan 2022, 13:47
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There could be efficient way to do it. This is my take on for now.
300+0.10S = (1)S/1.66
500 + 0.1666S = (1)S
500 = (1)S - 0.1666S
500 = 0.83334S
S = 600
So,
Eric has 600 - 300 = 300
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