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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 baseball team in a league has a roster of players tagged by: M7MBA ##### This topic has 2 expert replies and 0 member replies ## Each baseball team in a league has a roster of players Each baseball team in a league has a roster of players in the ratio of 2 pitchers for every 3 fielders. If each team has a total of 25 players on its roster and there are 12 teams in the league, the number of pitchers in the league is how much less than the number of fielders in the league? A. 10 B. 15 C. 60 D. 120 E. 180 The OA is the option C. Experts, may you show me what is the best way to solve this PS question? What is the formula that helps me here? Thanks in advanced. ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 9955 messages Followed by: 493 members Upvotes: 2867 GMAT Score: 800 Top Reply Hi M7MBA, We're told that each baseball team in a league has a roster of players in the ratio of 2 pitchers for every 3 fielders, each team has a total of 25 players on its roster and there are 12 teams in the league. We're asked for the difference between the number of pitchers in the league and the number of fielders in the league. The math behind this question can be done in several ways, but this question is ultimately about multiples and multiplication. Since each team has 25 placers, and the ratio of pitchers to fielders is 2:3, then that means there are 2 pitchers for every 5 TOTAL players on the team... 25 TOTAL players 10 pitchers 15 fielders For this 1 team, there are 5 MORE fielders than pitchers; with 12 teams in the league, that TOTAL difference would be 12(5) = 60 players Final Answer: C 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: 1781 messages Followed by: 14 members Upvotes: 43 M7MBA wrote: Each baseball team in a league has a roster of players in the ratio of 2 pitchers for every 3 fielders. If each team has a total of 25 players on its roster and there are 12 teams in the league, the number of pitchers in the league is how much less than the number of fielders in the league? A. 10 B. 15 C. 60 D. 120 E. 180 The ratio of pitchers to fielders = 2x : 3x. Since each team has 25 players: 2x + 3x = 25 5x = 25 x = 5 Each team has 10 pitchers and 15 fielders. Thus, the number of pitchers in the league is 10 x 12 = 120, and the number of fielders in the league is 15 x 12 = 180. Thus, there are 180 - 120 = 60 fewer pitchers than fielders. Answer: C _________________ Scott Woodbury-Stewart Founder and CEO • Free Veritas GMAT Class Experience Lesson 1 Live Free 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 • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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