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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 ## Going in to the last game of his basketball season, Adrian tagged by: AAPL ##### This topic has 4 expert replies and 0 member replies ### Top Member ## Going in to the last game of his basketball season, Adrian ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Veritas Prep Going in to the last game of his basketball season, Adrian had averaged 24 points per game. In his last game, he scored 50 points, bringing his average to 26 points per game for the season. How many games did Adrian play that season? A. 12 B. 13 C. 14 D. 15 E. 16 OA B. ### GMAT/MBA Expert GMAT Instructor Joined 09 Oct 2010 Posted: 1434 messages Followed by: 31 members Upvotes: 59 AAPL wrote: Veritas Prep Going in to the last game of his basketball season, Adrian had averaged 24 points per game. In his last game, he scored 50 points, bringing his average to 26 points per game for the season. How many games did Adrian play that season? A. 12 B. 13 C. 14 D. 15 E. 16 The homogeneity nature of the average makes this problem trivial: $? = N$ $\sum\nolimits_{N - 1} = \,\,\,24\left( {N - 1} \right)$ $\sum\nolimits_N = \,\,\,26\,N$ $26N = 24\left( {N - 1} \right) + 50\,\,\,\,\,\, \Rightarrow \,\,\,\,2N = 26\,\,\,\,\, \Rightarrow \,\,\,\,? = N = 13$ This solution follows the notations and rationale taught in the GMATH method. Regards, Fabio. _________________ Fabio Skilnik :: GMATH method creator ( Math for the GMAT) English-speakers :: https://www.gmath.net Portuguese-speakers :: https://www.gmath.com.br ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12735 messages Followed by: 1246 members Upvotes: 5254 GMAT Score: 770 AAPL wrote: Going in to the last game of his basketball season, Adrian had averaged 24 points per game. In his last game, he scored 50 points, bringing his average to 26 points per game for the season. How many games did Adrian play that season? A. 12 B. 13 C. 14 D. 15 E. 16 Let G = total number of games that Adrian played in the ENTIRE season Going in to the last game of his basketball season, Adrian had averaged 24 points per game. At this point, Adrian has played G-1 games So, we can write: (total number of points in G-1 games)/(G-1) = 24 Multiply both sides of the equation by (G-1) to get: total number of points in G-1 games = 24(G-1) Expand to get: total number of points in G-1 games = 24G - 24 In his last game, he scored 50 points... We already know that total number of points in G-1 games = 24G - 24 So, TOTAL number of points for all G games = 24G - 24 + 50 Simplify to get: TOTAL number of points for all G games = 24G + 26 ...bringing his average to 26 points per game for the season. We can write: (total number of points in all G games)/G = 26 So, (24G + 26)/G = 26 Multiply both sides by G to get: 24G + 26 = 26G Subtract 24G from both sides: 26 = 2G Solve: G = 13 Answer: B Cheers, Brent _________________ Brent Hanneson – Creator of GMATPrepNow.com Use our video course along with Sign up for our free Question of the Day emails And check out all of our free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMAT’s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10106 messages Followed by: 494 members Upvotes: 2867 GMAT Score: 800 Hi All, We're told that going in to the last game of his basketball season, Adrian had averaged 24 points per game and in his last game, he scored 50 points (bringing his average to 26 points per game for the season). We're asked for the TOTAL number of games Adrian played that season. This question can be solved in a number of different ways, including with a 'logic shortcut' that doesn't take much more than a bit of Arithmetic to use. We start with an unknown number of games - with an average score of 24 points/game. To raise this average by 2 (to 26 points/game), we essentially have to score 2 'extra' points for each game that has already been played - in addition to the 26 points that would need to be scored on the last game. With 50 total points in the last game, that total can be broken down into one '26' and the remaining 24 points into 12 'groups of 2 points.' Thus, Adrian would have played.... 1+12 = 13 total games. Final Answer: B GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2215 messages Followed by: 17 members Upvotes: 43 AAPL wrote: Veritas Prep Going in to the last game of his basketball season, Adrian had averaged 24 points per game. In his last game, he scored 50 points, bringing his average to 26 points per game for the season. How many games did Adrian play that season? A. 12 B. 13 C. 14 D. 15 E. 16 We can let x = the number of games played in the season; thus, we have: (24(x - 1) + 50)/x = 26 24x - 24 + 50 = 26x 26 = 2x 13 = x Answer: B _________________ Scott Woodbury-Stewart Founder and CEO • FREE GMAT Exam Know how you'd score today for$0

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