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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 ## A football team averaged 35 points per game over the first ##### This topic has 4 expert replies and 1 member reply ### Top Member ## A football team averaged 35 points per game over the first ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult A football team averaged 35 points per game over the first n games of the season. After scoring 28 points in the final game, their average was 34 points per game. How many games did the football team play? A. 5 B. 6 C. 7 D. 9 E. 12 OA C Source: Veritas Prep ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2852 messages Followed by: 18 members Upvotes: 43 Top Reply BTGmoderatorDC wrote: A football team averaged 35 points per game over the first n games of the season. After scoring 28 points in the final game, their average was 34 points per game. How many games did the football team play? A. 5 B. 6 C. 7 D. 9 E. 12 Let n be the number of games the team played before the final game. We can create the equation: 34 = (35n + 28)/(n + 1) 34n + 34 = 35n + 28 6 = n So the team played n + 1 = 7 games. Answer: C _________________ 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 25 May 2010 Posted: 15362 messages Followed by: 1866 members Upvotes: 13060 GMAT Score: 790 Top Reply BTGmoderatorDC wrote: A football team averaged 35 points per game over the first n games of the season. After scoring 28 points in the final game, their average was 34 points per game. How many games did the football team play? A. 5 B. 6 C. 7 D. 9 E. 12 This is a weighted average/mixture problem. Average score for the first N games = 35. Score for the final game = 28. Average score for the MIXTURE of all the games = 34. Step-by-step instruction for the alligation approach: Step 1: Plot the 3 averages on a number line, with the average for the first N games and that for the final game on the ends and the average for the mixture in the middle. N 35----------------34----------------28 F Step 2: Calculate the distances between the averages. N 35--------1-------34--------6------28 F Step 3: Determine the ratio in the mixture. The ratio of N to F is equal to the RECIPROCAL of the distances in red. N:F= 6:1 Since N:F = 6:1, the team played N=6 games with an average score of 35 and 1 final game with a score of 28, for a total of 7 games. The correct answer is C. Similar problems: http://www.beatthegmat.com/ratios-fraction-problem-t115365.html https://www.beatthegmat.com/mean-t266852.html#684151 _________________ 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 09 Oct 2010 Posted: 1449 messages Followed by: 32 members Upvotes: 59 BTGmoderatorDC wrote: A football team averaged 35 points per game over the first n games of the season. After scoring 28 points in the final game, their average was 34 points per game. How many games did the football team play? A. 5 B. 6 C. 7 D. 9 E. 12 Source: Veritas Prep $$? = n + 1$$ LetÂ´s do it using alligation: $${1 \over {n + 1}} = {{35 - 34} \over {35 - 28}} = {1 \over 7}\,\,\,\,\,\, \Rightarrow \,\,\,\,\,\,? = n + 1 = 7$$ 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 22 Aug 2016 Posted: 1984 messages Followed by: 30 members Upvotes: 470 BTGmoderatorDC wrote: A football team averaged 35 points per game over the first n games of the season. After scoring 28 points in the final game, their average was 34 points per game. How many games did the football team play? A. 5 B. 6 C. 7 D. 9 E. 12 OA C Source: Veritas Prep Say the team played n games before the final game. Total points scored in n games = 35n Total points scored in (n + 1) games, incl. final game = 35n + 28 => Average score of (n + 1 ) games = (35n + 28) / (n + 1) (35n + 28) / (n + 1) = 34 (given) => n = 6 => n + 1 = 7. The correct answer: C Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan Review India | Mehdipatnam GMAT Coaching | Madhapur GMAT Courses | Manhattan Review Hyderabad | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. ### Top Member Legendary Member Joined 29 Oct 2017 Posted: 977 messages Followed by: 4 members 35*n . . . sum of the points of the first n games. n + 1 . . . total number of games 34 = (35*n + 28)/(n + 1) 34n + 34 = 35n + 28 n = 34 - 28 = 6 n + 1 = 7 Therefore, C is the correct answer. • 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 • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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