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100 points for $49 worth of Veritas practice GMATs FREE VERITAS PRACTICE GMAT EXAMS Earn 10 Points Per Post Earn 10 Points Per Thanks Earn 10 Points Per Upvote ## ps 500 test27 #16 ##### This topic has 3 expert replies and 2 member replies ## ps 500 test27 #16 16. 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 Hi, the answer is E) but could not set an equation to it... can anyone please explain? Legendary Member Joined 20 Dec 2006 Posted: 986 messages Followed by: 1 members Upvotes: 51 dunkin77 wrote: 16. 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 Hi, the answer is E) but could not set an equation to it... can anyone please explain? ... since mary is giving away y dollars form her payement to john her payement becomes x - y ... and since john receives this payement of y dollars his poayement becomes x + y ... now it is given that after this transaction their both hourly wage shuld be the same .. that is (x + y)/10 = (x - y)/8 .. cross multiplying we get 8x + 8y = 10x - 10y ... which is 2x = 18y .. therfore x = 9y .. and hence the answer Junior | Next Rank: 30 Posts Joined 09 Apr 2007 Posted: 26 messages Upvotes: 2 Wages same so D1/D2=H1/H2 (X+Y)/(X-Y) = 10/8 (X+Y)/(X-Y) =5/4 ==> X=9Y Note: Trick in general is just to take ratios when a variable is same. Speed=distance/time ==> S -> 1/t when distance is same etc.. R ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2852 messages Followed by: 18 members Upvotes: 43 dunkin77 wrote: 16. 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 We are first given that John worked for 10 hours and that Mary worked for 2 hours less than John. It follows that: Johnâ€™s hours = 10 Maryâ€™s hours = 8 We are also given that John and Mary were each given x dollars in advance. We are also told that Mary gave John y dollars of her payment so that they would have an equal hourly wage. It follows that Mary actually made x - y dollars. Since John received y dollars, he now made x + y dollars. Using this information, the hourly wages of John and Mary are: hourly wage = (total paid)/(# of hours) Maryâ€™s wage = (x - y)/8 Johnâ€™s wage = (x + y)/10 Since we are told that the two hourly wages are the same, we can set the hourly wages of John and Mary equal to each other. (x + y)/10 = (x - y)/8 We can cross multiply and solve: 8x + 8y = 10x - 10y -2x = -18y x = 9y Answer: E _________________ Scott Woodbury-Stewart Founder and CEO scott@targettestprep.com See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12999 messages Followed by: 1250 members Upvotes: 5254 GMAT Score: 770 dunkin77 wrote: 16. 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 One approach: Salary Mary's NET salary was x - y dollars (because Mary gave John y dollars) John's NET salary was x + y dollars Hours worked Mary worked 8 hours John worked 10 hours In the end, John and Mary received the SAME hourly wage. So, John's hourly wage = Mary's hourly wage Hourly wage = (total salary)/(hours worked) So, (x + y)/10 = (x - y)/8 In terms of y, that John was paid in advance? In other words, what is the value of x (in terms of y) So, we'll solve our equation for x. Take (x + y)/10 = (x - y)/8 and cross multiply to get: 10(x - y) = 8(x + y) Expand: 10x - 10y = 8x + 8y Rearrange: 2x = 18y Divide by 2: x = 9y So, John's advance payment = x = 9y = E Cheers, Brent _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use my video course along with Sign up for free Question of the Day emails And check out all of these free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15361 messages Followed by: 1866 members Upvotes: 13060 GMAT Score: 790 dunkin77 wrote: 16. 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 John and Mary were each paid x dollars in advance to do a certain job together. John worked on the job for 10 hours. Mary worked 2 hours less than John. Since a total of 18 hours are worked -- 10 hours by John, 8 hours by Mary -- let x=18. Since John and Mary are each given$18 in advance, the total pay for the job = 18+18 = 36.
Since Mary works 8 of the 18 hours, she takes home 8/18 of the total pay:
(8/18)(36) = 16.

Mary gave John y dollars of her payment.
Since Mary was given $18 in advance but takes home only$16, she gave John $2, implying that y=2. What was the dollar amount that John was paid in advance? Since John was given$18 in advance, the correct answer must yield $18 when y=2. Only E works: 9y = 9*2 = 18. The correct answer is E. _________________ Mitch Hunt Private Tutor for the GMAT and GRE GMATGuruNY@gmail.com If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon. Available for tutoring in NYC and long-distance. For more information, please email me at GMATGuruNY@gmail.com. Student Review #1 Student Review #2 Student Review #3 Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now. • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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