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?
4y
5y
6y
8y
9y
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John and Mary
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alex.gellatly
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Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
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Anurag@Gurome
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Initially, John and Mary were each paid x dollars in advance.alex.gellatly 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?
4y
5y
6y
8y
9y
Mary gave John y dollars of her payment implies John has $(x + y) and Mary has $(x - y).
John has worked for 10 hours, so for 1 hr he is paid $(x + y)/10
Mary worked for 8 hrs, so for 1 hr she is paid $(x - y)/8
Since their hourly wages will be equal, so (x + y)/10 = (x - y)/8
8x + 8y = 10x - 10y
18y = 2x
9y = x
Hence, John was paid [spoiler]$9y[/spoiler] in advance.
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