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OG C #220 John and Mary were each paid x dollars in advance

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OG C #220 John and Mary were each paid x dollars in advance [#permalink] New post 20 Jun 2008, 00:48
OG C #220
John and Mary were each paid x dollars in advance to do a certain job together. John worked on the
job for 10 hours and Mary worked 2 hrs less than John. If Mary gave John y dollars of her payment
so that they would have received the same hourly wage, what was the $ amount, in terms of y,
htat John was paid in advance?
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Re: OG C #220 [#permalink] New post 20 Jun 2008, 01:05
i suppose it is 9y

For example J and M recieve 1 $ per hour
If they worked equal numbers of hours than J has 9 $ and M has 9 $
But scince J worked 10 hours and M 8 hours than J has 10 $ and M has y (1 $) less because she gave it to J (9-1=8 $)
Therefore, the given y to J (1 $ ) is 1/9 of the sum that J received in advance and tharefore, the aswer is 9y.
what is OA?

Last edited by quantum on 20 Jun 2008, 01:17, edited 2 times in total.
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Re: OG C #220 [#permalink] New post 20 Jun 2008, 01:07
redbeanaddict wrote:
OG C #220
John and Mary were each paid x dollars in advance to do a certain job together. John worked on the
job for 10 hours and Mary worked 2 hrs less than John. If Mary gave John y dollars of her payment
so that they would have received the same hourly wage, what was the $ amount, in terms of y,
htat John was paid in advance?


hourly wage of Jonh =x/10
hourly wage of Mary =x/8

x/10 + y = x/8 -y , so x =80y, in term of y, John paid 80y, correct?
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Re: OG C #220 [#permalink] New post 20 Jun 2008, 01:15
sondenso wrote:
redbeanaddict wrote:
OG C #220
John and Mary were each paid x dollars in advance to do a certain job together. John worked on the
job for 10 hours and Mary worked 2 hrs less than John. If Mary gave John y dollars of her payment
so that they would have received the same hourly wage, what was the $ amount, in terms of y,
htat John was paid in advance?


hourly wage of Jonh =x/10
hourly wage of Mary =x/8

x/10 + y = x/8 -y , so x =80y, in term of y, John paid 80y, correct?


IMHO I think we can not see their wages as you showed above because according to the stem they receive equal amount of money and therefore their wages must be equal at the begining.
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Re: OG C #220 [#permalink] New post 20 Jun 2008, 01:19
quantum wrote:
sondenso wrote:
redbeanaddict wrote:
OG C #220
John and Mary were each paid x dollars in advance to do a certain job together. John worked on the
job for 10 hours and Mary worked 2 hrs less than John. If Mary gave John y dollars of her payment
so that they would have received the same hourly wage, what was the $ amount, in terms of y,
htat John was paid in advance?


hourly wage of Jonh =x/10
hourly wage of Mary =x/8

x/10 + y = x/8 -y , so x =80y, in term of y, John paid 80y, correct?


IMHO I think we can not see their wages as you showed above because according to the stem they receive equal amount of money and therefore their wages must be equal at the begining.


Yeah, x is equal amount they each receive at the beginning. Due to their working hours different, hourly wage of them is different. x/10 and x/8
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Re: OG C #220 [#permalink] New post 20 Jun 2008, 01:24
sondenso

than according to your equation J has now fewer $ than M... But it can be so because he worked more than she did. :-D
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Re: OG C #220 [#permalink] New post 20 Jun 2008, 01:30
hourly wages are same

(x-y)/8 = (x+y)/10

x = 9y
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Re: OG C #220 [#permalink] New post 20 Jun 2008, 01:32
quantum wrote:
sondenso

than according to your equation J has now fewer $ than M... But it can be so because he worked more than she did. :-D


Yeah, OG has alot of traps and I am a easily deceiver!
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Re: OG C #220 [#permalink] New post 20 Jun 2008, 05:30
durgesh79 wrote:
hourly wages are same

(x-y)/8 = (x+y)/10

x = 9y


This is absolutely the most clear solution.
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Re: OG C #220 [#permalink] New post 20 Jun 2008, 06:11
Other discussion thread of this same question:

7-p476849?t=65075&hilit=John+Mary+were+each+paid+x+dollars#p476849
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Re: OG C #220   [#permalink] 20 Jun 2008, 06:11
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OG C #220 John and Mary were each paid x dollars in advance

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