Jhon and Mary

aalamer6 wrote:OG12

204: 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 for 2 hours less than John. Ig Mary gave John y dollars of her payment so that they would have recieved 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


Thank you all for helping me to understand the ansewr

Lets assume in the beginning both John and Mary were paid "x" dollars in advance. Once Mary gives her "y" dollars to John, she is left with "x-y" dollars and John is left with "x+y" dollars.

John -> worked 10 hrs -> Received--- x+y
Mary -> worked 8 hrs -> Received--- x-y

Since hourly wage is equal,
(x+y)/(x-y) = 10/8
=> 2x/2y = 18/2 => x = 9y E

aalamer6 wrote:OG12

204: 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 for 2 hours less than John. Ig Mary gave John y dollars of her payment so that they would have recieved 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


Thank you all for helping me to understand the ansewr

John works for 10 hours and Mary works for 8 hours.
Let's plug in for the hourly wage. Let wage = 10.

John's pay = 10*10 = 100.
Mary's pay = 8*10 = 80.
Combined pay = 100+80 = 180.
Since John and Mary were each given x dollars in advance, x = 180/2 = 90.
Since Mary was given $90 in advance and her final pay was $80, Mary gave John $10. So y=10.
The problem asks for the amount that John was paid in advance: $90. This is our target answer.

Now we plug y=10 into the answer choices to see which yields our target of 90.

Only answer choice E works:
9y = 9*10 = 90.

The correct answer is E.

anshumishra wrote:

aalamer6 wrote:OG12

204: 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 for 2 hours less than John. Ig Mary gave John y dollars of her payment so that they would have recieved 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


Thank you all for helping me to understand the ansewr

Lets assume in the beginning both John and Mary were paid "x" dollars in advance. Once Mary gives her "y" dollars to John, she is left with "x-y" dollars and John is left with "x+y" dollars.

John -> worked 10 hrs -> Received--- x+y
Mary -> worked 8 hrs -> Received--- x-y

Since hourly wage is equal,
(x+y)/(x-y) = 10/8
=> 2x/2y = 18/2 => x = 9y E

Wow! now dats called an awesome solution.