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Mary and John were each paid x dollars in advance to do a

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Eternal Intern
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Mary and John were each paid x dollars in advance to do a [#permalink] New post 27 Jul 2003, 09:25
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Mary and John were each paid x dollars in advance to do a certain job. ( I say let's make x- $100) John worked on the job for 10 hours and Mary worked for 8 hours. If Mary gave John y dollars of her payment so that they would have received the same hourly wage, what was the dollar amoung John was paid in advance?

100 + y
----- = 100 - y/ 8? :wink:
10

Is this right,
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 [#permalink] New post 27 Jul 2003, 09:40
Since either person gets $X in advance, the John's hourly rate is X/10 $ph, and that of Mary is X/8 $ph. But Mary gives $Y to John to make their rates equal. Thus, her own rate is decreased = (X-Y)/8 $ph

X/10=(X-Y)/8, where X=5Y

So, in terms of Y, John initially got $5Y.
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Answer [#permalink] New post 28 Jul 2003, 08:45
(X + y)/10 = (X - y)/8

Cross multiplied to get 8X + 8y = 10X - 10y

then solve: 18y = 2X

X = 9y
Answer   [#permalink] 28 Jul 2003, 08:45
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Mary and John were each paid x dollars in advance to do a

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