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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 Anna and Carol buy CDs and tapes at a music store that sells This topic has 2 expert replies and 0 member replies Top Member Anna and Carol buy CDs and tapes at a music store that sells Timer 00:00 Your Answer A B C D E Global Stats Difficult Anna and Carol buy CDs and tapes at a music store that sells each of its CDs for a certain price and each of its tapes for a certain price. Anna spends twice as much as Carol spends, buying three times as many CDs and the same number of tapes. If Carol spends$50.00 on four CDs and five tapes, how much does one tape cost?

A $5.00 B$6.25

C $12.00 D$25.00

E $100.00 OA A Source: Princeton Review GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2012 messages Followed by: 14 members Upvotes: 43 Top Reply BTGmoderatorDC wrote: Anna and Carol buy CDs and tapes at a music store that sells each of its CDs for a certain price and each of its tapes for a certain price. Anna spends twice as much as Carol spends, buying three times as many CDs and the same number of tapes. If Carol spends$50.00 on four CDs and five tapes, how much does one tape cost?

A $5.00 B$6.25

C $12.00 D$25.00

E $100.00 Let c denote the price of one CD and t denote the price of one tape (both in dollars). We can create the following equation for Carol’s expenditure: 4c + 5t = 50 We can create the following equation for Anna’s expenditure: 12c + 5t = 100 Subtracting the first equation from the second, we have: 8c = 50 c = 50/8 = 6.25 Thus: 4(6.25) + 5t = 50 5t = 25 t = 5 Answer: A _________________ Scott Woodbury-Stewart Founder and CEO GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10071 messages Followed by: 494 members Upvotes: 2867 GMAT Score: 800 Top Reply Hi All, We're told that Anna and Carol buy CDs and tapes at a music store that sells each of its CDs for a certain price and each of its tapes for a certain price. Anna spends TWICE as much as Carol spends, buying THREE times as many CDs and the SAME number of tapes. If Carol spends$50.00 on four CDs and five tapes, we're asked for the price of one tape cost. This question can be approached in a couple of different ways; since every approach requires that you translate the information into equations, you might find it easiest to approach this work Algebraically.

Since Carol spent $50 on 4 CDs and 5 tapes, we can create the following equation: 50 = 4C + 5T We know that Anna spends TWICE as much as Carol, buying 3 times as many CDs and the same number of tapes. This can be translated into: 100 = 12C + 5T Thus, the difference in the total spent comes down to the difference in the number of CDs purchased: An extra 50 dollars gets you an extra 8 CDs 50 = 8C 50/8 = C 25/4 = C We can now 'plug' this value into the first equation: 50 = (4)(25/4) + 5T 50 = 25 + 5T 25 = 5T 5 = T Final Answer: A GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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