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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 ## Which of the following is equivalent to tagged by: M7MBA ##### This topic has 3 expert replies and 0 member replies ## Which of the following is equivalent to ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Which of the following is equivalent to $$\frac{x+y}{3}-\frac{x-y}{4}?$$ $$A.\ \frac{x+y}{12}$$ $$B.\ \frac{7x+y}{12}$$ $$C.\ \frac{7x-y}{12}$$ $$D.\ \frac{7y+x}{12}$$ $$E.\ \frac{7y-x}{12}$$ OA=D Source: Veritas Prep ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12984 messages Followed by: 1249 members Upvotes: 5254 GMAT Score: 770 Top Reply M7MBA wrote: Which of the following is equivalent to $$\frac{x+y}{3}-\frac{x-y}{4}?$$ $$A.\ \frac{x+y}{12}$$ $$B.\ \frac{7x+y}{12}$$ $$C.\ \frac{7x-y}{12}$$ $$D.\ \frac{7y+x}{12}$$ $$E.\ \frac{7y-x}{12}$$ OA=D Source: Veritas Prep Here's another approach.... Take: $$\frac{x+y}{3}-\frac{x-y}{4}$$ Find common denominator: $$\frac{4(x+y)}{12}-\frac{3(x-y)}{12}$$ Expand numerators: $$\frac{4x+4y}{12}-\frac{3x-3y)}{12}$$ Combine fractions: $$\frac{(4x+4y)-(3x-3y)}{12}$$ Simplify numerator: $$\frac{x+7y}{12}$$ Answer: D 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: 15352 messages Followed by: 1864 members Upvotes: 13060 GMAT Score: 790 M7MBA wrote: Which of the following is equivalent to $$\frac{x+y}{3}-\frac{x-y}{4}?$$ $$A.\ \frac{x+y}{12}$$ $$B.\ \frac{7x+y}{12}$$ $$C.\ \frac{7x-y}{12}$$ $$D.\ \frac{7y+x}{12}$$ $$E.\ \frac{7y-x}{12}$$ Let x=2 and y=1, with the result that (x+y)/3 - (x-y)/4 = 1 - 1/4 = 3/4. The correct answer must yield 3/4 when x=2 and y=1. Only D works: (7y+x)/12 = (7*1 + 2)/12 = 9/12 = 3/4 The correct answer is D. _________________ 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. ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2801 messages Followed by: 18 members Upvotes: 43 M7MBA wrote: Which of the following is equivalent to $$\frac{x+y}{3}-\frac{x-y}{4}?$$ $$A.\ \frac{x+y}{12}$$ $$B.\ \frac{7x+y}{12}$$ $$C.\ \frac{7x-y}{12}$$ $$D.\ \frac{7y+x}{12}$$ $$E.\ \frac{7y-x}{12}$$ OA=D Source: Veritas Prep Getting an LCD of 12, we have: (4x + 4y)/12 - (3x - 3y)/12 (x + 7y)/12 Answer: D _________________ 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 • FREE GMAT Exam Know how you'd score today for$0

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