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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 ## Of the votes cast on a certain proposal, 80 more were in tagged by: AAPL ##### This topic has 4 expert replies and 1 member reply ### Top Member ## Of the votes cast on a certain proposal, 80 more were in ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Princeton Review Of the votes cast on a certain proposal, 80 more were in favor of the proposal than were against it. If the number of votes against the proposal was 40 percent of the total vote, what was the total number of votes cast? (Each vote cast was either in favor of the proposal or against it.) A. 480 B. 400 C. 300 D. 240 E. 160 OA B. ### Top Member Legendary Member Joined 02 Mar 2018 Posted: 965 messages Followed by: 2 members Vote against the proposal = 40% of the Total votes Vote for the proposal = 100 - 40 = 60% of the Total vote Total vote is unknown $$Let\ total\ vote\ =\ x$$ of the total vote x, 80 more were in favor of the proposal than were against it ; thus $$\left(60\%\ of\ \ x\right)-\left(40\%\ of\ x\right)=80$$ $$\left(\frac{60}{100}\cdot x\right)-\left(\frac{40}{100}-x\right)=80$$ $$0.6x-0.4x=80$$ $$0.2x=80$$ dividing both sides by the coefficient of x $$\frac{0.2x}{0.2}=\frac{80}{0.2}$$ $$x=400$$ $$answer\ is\ Option\ B$$ ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2424 messages Followed by: 18 members Upvotes: 43 AAPL wrote: Princeton Review Of the votes cast on a certain proposal, 80 more were in favor of the proposal than were against it. If the number of votes against the proposal was 40 percent of the total vote, what was the total number of votes cast? (Each vote cast was either in favor of the proposal or against it.) A. 480 B. 400 C. 300 D. 240 E. 160 Let x = the total number of votes cast. So 0.4x votes were against the proposal, and 0.6x votes were in favor of the proposal. We can create the equation: 0.6x - 0.4x = 80 0.2x = 80 x = 400 Answer: B _________________ 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 Elite Legendary Member Joined 23 Jun 2013 Posted: 10124 messages Followed by: 494 members Upvotes: 2867 GMAT Score: 800 Hi All, We're told that of the votes cast on a certain proposal, 80 MORE were in favor of the proposal than were against it and the number of votes against the proposal was 40 percent of the TOTAL vote. We're asked for the total number of votes cast? (Each vote cast was either in favor of the proposal or against it). This question can be approached in a number of different ways, including by TESTing THE ANSWERS. To start, since the difference between the number of "yes" votes and the number of "no" votes is 'round number' (in this case, 80), it's likely that the TOTAL number of votes is ALSO a 'nice' round number. We have two of those in the answer choices (re: 400 and 300). Let's TEST Answer B first. Answer B: 400 votes IF... there are 400 votes, then 40% of the 400 were "no" votes --> (.4)(400) = 160 and the remaining 400 - 160 = 240 were "yes" votes The difference in "yes" votes and "no" votes is 240 - 160 = 80 This is an exact match for what we were told, so this MUST be the answer. 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 09 Oct 2010 Posted: 1449 messages Followed by: 32 members Upvotes: 59 AAPL wrote: Princeton Review Of the votes cast on a certain proposal, 80 more were in favor of the proposal than were against it. If the number of votes against the proposal was 40 percent of the total vote, what was the total number of votes cast? (Each vote cast was either in favor of the proposal or against it.) A. 480 B. 400 C. 300 D. 240 E. 160 $$? = t\left( {{\rm{total}}} \right)\,\,\,\,\left\{ \matrix{ \,{\rm{against}}\,\,\,{\rm{ = }}\,\,a\,\,\mathop = \limits^{{\rm{stem}}} \,\,{2 \over 5}t \hfill \cr \,{\rm{for}}\,\,{\rm{ = }}\,\,t - a\,\,\mathop = \limits^{{\rm{stem}}} \,\,80 + a\,\,\, \Rightarrow 2a = t - 80 \hfill \cr} \right.\,\,\,\, \Rightarrow \,\,\,2\left( {{2 \over 5}t} \right) = t - 80\,\,\,\, \Rightarrow \,\,\,{1 \over 5}t = 80\,\,\,\, \Rightarrow \,\,\,\left( {\rm{B}} \right)$$ We follow 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 25 Apr 2015 Posted: 2424 messages Followed by: 18 members Upvotes: 43 AAPL wrote: Princeton Review Of the votes cast on a certain proposal, 80 more were in favor of the proposal than were against it. If the number of votes against the proposal was 40 percent of the total vote, what was the total number of votes cast? (Each vote cast was either in favor of the proposal or against it.) A. 480 B. 400 C. 300 D. 240 E. 160 We can let n = the total number of votes. Thus, 0.4n votes were against the proposal, and 0.6n votes were in favor of the proposal. We can create the equation: 0.6n - 0.4n = 80 0.2n = 80 n = 80/0.2 = 800/2 = 400 Answer: B _________________ 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. 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