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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 ## Democrats and Republicans tagged by: Brent@GMATPrepNow ##### This topic has 2 expert replies and 1 member reply ## Democrats and Republicans Guests at a recent congressional party contributed$15,000 to charity. Each guest who was neither a male nor a democrat contributed exactly $1,000. No amount was contributed by any guest who was a male, a democrat, or both. If half of the guests were democrats, how many guests attended the party? 1. The democrats attended the party at a rate of 2 males to every 3 females, half the rate for republicans. 2. 30% of the guests were democrat females. Legendary Member Joined 14 Aug 2012 Posted: 1556 messages Followed by: 34 members Upvotes: 448 Target GMAT Score: 750 GMAT Score: 650 1000xFR = 15000 ==> FR = 15 To find: MD+MR+FD+FR Statement 1: MD : FD = 2 : 3 MR : FR = 4 : 3 FR = 15 ==> MR = 20 MR + FR = 35 ==> G/2 = 35 = 70 SUFFICIENT Statement 2: 30% of G = FD INSUFFICIENT Answer {A}? Attachments This post contains an attachment. You must be logged in to download/view this file. Please login or register as a user. _________________ R A H U L ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12829 messages Followed by: 1247 members Upvotes: 5254 GMAT Score: 770 I thought I'd point out that Rahul's approach is known as the Double Matrix Method. This technique can be used for most questions featuring a population in which each member has two characteristics associated with it. Here, we have a population of guests, and the two characteristics are: - Democrat or not Democrat - Female or male To learn more about this important technique, watch our free video: http://www.gmatprepnow.com/module/gmat-word-problems?id=919 Then try these additional practice questions that can be solved using the Double Matrix Method: - http://www.beatthegmat.com/mba/2011/05/05/random-double-matrix-question-1 - http://www.beatthegmat.com/mba/2011/05/09/random-double-matrix-question-2 - http://www.beatthegmat.com/mba/2011/05/16/random-double-matrix-question-3 - http://www.beatthegmat.com/ds-quest-t187706.html - http://www.beatthegmat.com/overlapping-sets-questions-t183320.html - http://www.beatthegmat.com/finance-majors-non-finance-majors-overlapping-set-question-t167425.html - http://www.beatthegmat.com/ds-french-japanese-t222297.html - http://www.beatthegmat.com/sets-t269449.html#692540 - http://www.beatthegmat.com/in-costume-for-halloween-t269355.html#692116 Cheers, Brent _________________ Brent Hanneson â€“ 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 GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 15256 messages Followed by: 1861 members Upvotes: 13060 GMAT Score: 790 psm12se wrote: Guests at a recent congressional party contributed$15,000 to charity. Each guest who was neither a male nor a democrat contributed exactly $1,000. No amount was contributed by any guest who was a male, a democrat, or both. If half of the guests were democrats, how many guests attended the party? 1. The democrats attended the party at a rate of 2 males to every 3 females, half the rate for republicans. 2. 30% of the guests were democrat females. I posted an explanation for a very similar problem -- pretty much the same problem -- here: http://www.beatthegmat.com/who-ate-the-burgers-t164828.html _________________ 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. • FREE GMAT Exam Know how you'd score today for$0

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