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

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John and Mary were each paid x dollars in advance to do a certain job [#permalink]  01 May 2009, 00:52
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Question Stats:

63% (02:45) correct 37% (02:17) wrong based on 56 sessions
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 hours 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 dollar amount, in terms of y, that John was paid in advance?

(A) 4y
(B) 5y
(C) 6y
(D) 8y
(E) 9y

OPEN DISCUSSION OF THIS QUESTION IS HERE: john-and-mary-were-each-paid-x-dollars-in-advance-to-do-a-144782.html
[Reveal] Spoiler: OA

Last edited by Bunuel on 27 Sep 2014, 00:49, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
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Manager
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Re: John and Mary were each paid x dollars in advance to do a certain job [#permalink]  01 May 2009, 06:48
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Ans is (A) 4y

Here is how I got

John worked for = 10 hr
Mary worked for = 8 hr (2 less than John)

Advance payment to John and Mary = x dollars
Mary gave John so that they have equal pay per hour = y dollars

This means their per hour amount is equal.

x/10 = (x-y)/8

Calculating this gives x = 5y. Reducing the extra y given by Mary to John gives 4y
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Re: John and Mary were each paid x dollars in advance to do a certain job [#permalink]  01 May 2009, 08:14
i got E 9y
Here is how I got

John worked for = 10 hr
Mary worked for = 8 hr (2 less than John)

Advance payment to John and Mary = x dollars
Mary gave John y dollars so that they have equal pay per hour

This means their per hour amount is equal.
so mary now have x-y and john now have x+y
so (x-y)/8 = (x+y)/10

which gives x =9y
Manager
Joined: 12 Apr 2006
Posts: 218
Location: India
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Kudos [?]: 24 [0], given: 17

Re: John and Mary were each paid x dollars in advance to do a certain job [#permalink]  01 May 2009, 09:13
aharonm wrote:
i got E 9y

You are right, I missed adding the y to John payment.
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Re: John and Mary were each paid x dollars in advance to do a certain job [#permalink]  26 Sep 2014, 23:25
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Re: John and Mary were each paid x dollars in advance to do a certain job [#permalink]  27 Sep 2014, 00:50
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Expert's post
milind1979 wrote:
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 hours 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 dollar amount, in terms of y, that John was paid in advance?

(A) 4y
(B) 5y
(C) 6y
(D) 8y
(E) 9y

The amount Mary has in the end is x-y dollars and she worked for 8 hours;
The amount John has in the end is x+y dollars and he worked for 10 hours;;

We are told that in this case their hourly wage was the same: $$hourly \ wage=\frac{wage}{# \ of \ hours \ worked}=\frac{x-y}{8}=\frac{x+y}{10}$$, from $$\frac{x-y}{8}=\frac{x+y}{10}$$ we get that $$x=9y$$.

OPEN DISCUSSION OF THIS QUESTION IS HERE: john-and-mary-were-each-paid-x-dollars-in-advance-to-do-a-144782.html
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Re: John and Mary were each paid x dollars in advance to do a certain job   [#permalink] 27 Sep 2014, 00:50
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# John and Mary were each paid x dollars in advance to do a certain job

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