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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 ## There are 4 more women (OG2016) ##### This topic has 4 expert replies and 1 member reply ## There are 4 more women (OG2016) There are 4 more women than men on Centerville's board of education. If there are 10 members on the board, how many are women? A) 3 B) 4 C) 6 D) 7 E) 8 OA: D ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12907 messages Followed by: 1248 members Upvotes: 5254 GMAT Score: 770 boomgoesthegmat wrote: There are 4 more women than men on Centerville's board of education. If there are 10 members on the board, how many are women? A) 3 B) 4 C) 6 D) 7 E) 8 OA: D One approach is to TEST each answer choice. Iâ€™ll leave that to you to try. Another option is to create and solve an equation. Let W = # of women There are 4 more women than men In other words, there are 4 FEWER men than women. So, W - 4 = # of men There are 10 members on the board So, (# of women) + (# of men) = 10 Or, W + (W - 4) = 10 Simplify: 2W - 4 = 10 So: 2W = 14 And: W = 7 Answer: D Related Resources The following videos cover the concepts/strategies that are useful for answering this question: - Intro to GMAT word problems: https://www.gmatprepnow.com/module/gmat-word-problems/video/900 - Testing the answer choices: https://www.gmatprepnow.com/module/gmat-word-problems/video/901 - Assigning variables: https://www.gmatprepnow.com/module/gmat-word-problems/video/902 - Writing equations: https://www.gmatprepnow.com/module/gmat-word-problems/video/903 - How many variables to assign?: https://www.gmatprepnow.com/module/gmat-word-problems/video/906 Cheers, Brent _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use my video course along with Sign up for free Question of the Day emails And check out all of these free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months! ### Top Member Master | Next Rank: 500 Posts Joined 15 Oct 2009 Posted: 329 messages Upvotes: 27 boomgoesthegmat wrote: There are 4 more women than men on Centerville's board of education. If there are 10 members on the board, how many are women? A) 3 B) 4 C) 6 D) 7 E) 8 OA: D As an aside, this question, and others modeled upon it, have gained some notoriety for being tricky when posed orally. See Fast Brain Slow Brain ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10189 messages Followed by: 494 members Upvotes: 2867 GMAT Score: 800 Hi boomgoesthegmat, This question can be solved rather easily by TESTing THE ANSWERS. We're told that there are 4 MORE women then men on the board and that there are 10 total board members. Since there are more women than men, women have to make up MORE than half of the 10 people. Let's TEST Answer D: 7 IF.... there are 7 women... There will be 7-4 = 3 men 7+3 = 10; this is an exact match for what we were told, so this MUST be the answer. Final Answer: D GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com ### GMAT/MBA Expert GMAT Instructor Joined 09 Apr 2015 Posted: 1461 messages Followed by: 18 members Upvotes: 39 boomgoesthegmat wrote: There are 4 more women than men on Centerville's board of education. If there are 10 members on the board, how many are women? A) 3 B) 4 C) 6 D) 7 E) 8 OA: D Solution: We can solve the problem by setting up a few equations. First letâ€™s define some variables. m = number of men on the board w = number of women on the board We are given that there are 4 more women than men on the board. Letâ€™s express this in an equation. w = m + 4 We are also given that there are a total of 10 members on the board. Letâ€™s express this in an equation. m + w = 10 Since w = m + 4, we can substitute m + 4 for w into the equation m + w = 10 and we have: m + m + 4 = 10 2m = 6 m = 3 Since m + w = 10, we know that 3 + w = 10 or w = 7. The answer is D _________________ Jeffrey Miller Head of GMAT Instruction jeff@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 12 Sep 2012 Posted: 2635 messages Followed by: 116 members Upvotes: 625 Target GMAT Score: V51 GMAT Score: 780 Men = m Women = m + 4 m + m + 4 = 10 m = 3, but we want women, or m + 4, or 7. Enroll in a Veritas Prep GMAT class completely for FREE. Wondering if a GMAT course is right for you? Attend the first class session of an actual GMAT course, either in-person or live online, and see for yourself why so many students choose to work with Veritas Prep. 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