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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 ## Each of three students is given fifteen tokens to spend at a tagged by: BTGmoderatorLU ##### This topic has 1 expert reply and 0 member replies ### Top Member ## Each of three students is given fifteen tokens to spend at a ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Source: Magoosh Each of three students is given fifteen tokens to spend at a fair with various tents to visit. Some tents cost 3 tokens to enter, and some, 4 tokens. How many tents did Amelia visit? (1) Amelia bought one token from another classmate, and spent all the tokens in their possession. (2) Not all of the tents Amelia visited were the same token-price. The OA is C. ### GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 1710 messages Followed by: 28 members Upvotes: 470 BTGmoderatorLU wrote: Source: Magoosh Each of three students is given fifteen tokens to spend at a fair with various tents to visit. Some tents cost 3 tokens to enter, and some, 4 tokens. How many tents did Amelia visit? (1) Amelia bought one token from another classmate and spent all the tokens in their possession. (2) Not all of the tents Amelia visited were the same token-price. The OA is C. Say Amelia visited x numbers of tents that cost 3 tokens and y numbers of tents that cost 4 tokens => 3x + 4y â‰¤ 15 We have to get the value of x + y. Let's take each statement one by one. (1) Amelia bought one token from another classmate and spent all the tokens in their possession. => 3x + 4y = 16 Case 1: At x = 0 and y = 4 => x+y = 0 + 4 = 4 Case 2: At x = 4 and y = 1 => x+y = 4 + 1 = 5 No unique answer. Insufficient. (2) Not all of the tents Amelia visited were the same token-price. => x > 1 and y > 1 Can't get the unique value of x + y. Insufficient. (1) and (2) together We see that now Case 1 of Statement 1 is invalid, thus, x + y = 5. Sufficient. The correct answer: A Hope this helps! -Jay _________________ Manhattan Review Locations: Manhattan Review Jayanagar | GMAT Prep Tarnaka | GRE Prep Madhapur | Kukatpally GRE Coaching | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. • Magoosh Study with Magoosh GMAT prep 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 • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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