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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 post on a website gains a point if a user choose to ##### This topic has 3 expert replies and 1 member reply ### Top Member ## A post on a website gains a point if a user choose to ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult A post on a website gains a point if a user choose to upvote it and loses a point if a user chooses to downvote it. If a post has a total of 60 points and 40% of the votes were downvotes, how many votes have been cast, in total? A. 100 B. 150 C. 240 D. 300 E. 500 OA D Source: Veritas Prep ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2424 messages Followed by: 18 members Upvotes: 43 Top Reply BTGmoderatorDC wrote: A post on a website gains a point if a user choose to upvote it and loses a point if a user chooses to downvote it. If a post has a total of 60 points and 40% of the votes were downvotes, how many votes have been cast, in total? A. 100 B. 150 C. 240 D. 300 E. 500 Let u = the number of upvotes and d = the number of downvotes. We can create the equations: u - d = 60 and d = 0.4(u + d) Simplifying the second equation, we have: d = 0.4u + 0.4d 0.6d = 0.4u 6d = 4u 1.5d = u Now we can substitute 1.5d for u into the first equation and obtain: 1.5d - d = 60 0.5d = 60 d = 120 Since d = 120, u = 1.5 x 120 = 180. Therefore, a total of 180 + 120 = 300 votes have been cast. Alternate Solution: We can test each answer choice: A) 100 total votes If 100 votes were cast and 40% were downvotes, then there are 100*(0.4) = 40 downvotes and 100 - 40 = 60 upvotes. In this case, the post would have 60 - 40 = 20 total points. We can eliminate answer choice A. B) 150 total votes If 150 votes were cast and 40% were downvotes, then there are 150*(0.4) = 60 downvotes and 150 - 60 = 90 upvotes. In this case, the post would have 90 - 60 = 30 total points. We can eliminate answer choice B. C) 240 total votes If 240 votes were cast and 40% were downvotes, then there are 240*(0.4) = 96 downvotes and 240 - 96 = 144 upvotes. In this case, the post would have 144 - 96 = 48 total points. We can eliminate answer choice C. D) 300 total votes If 300 votes were cast and 40% were downvotes, then there are 300*(0.4) = 120 downvotes and 300 - 120 = 180 upvotes. In this case, the post would have 180 - 120 = 60 total points, as required. The answer is D. Answer: D _________________ 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 ### Top Member Legendary Member Joined 02 Mar 2018 Posted: 970 messages Followed by: 2 members Top Reply If 1 post = 60 points 40% of votes were downvotes How many votes were cast in total? Let x = Total number of votes If 40% of x were downvotes, then 60% of votes were upvotes $$\left(60\%\ of\ x\right)=\left(40\%\ of\ x\right)=60\ points$$ $$0.6x-0.4x=60\ points$$ $$\frac{0.2x}{0.2}=\frac{60points}{0.2}$$ $$x=\ 300votes$$ $$answer\ is\ Option\ D$$ ### GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 1890 messages Followed by: 30 members Upvotes: 470 BTGmoderatorDC wrote: A post on a website gains a point if a user choose to upvote it and loses a point if a user chooses to downvote it. If a post has a total of 60 points and 40% of the votes were downvotes, how many votes have been cast, in total? A. 100 B. 150 C. 240 D. 300 E. 500 OA D Source: Veritas Prep Say the number of votes cast = x Thus, the number of upvotes cast = 60% of x = 0.6x; and the number of downvotes cast = 40% of x = 0.4x; total point = 0.6x -0.4x = 0.2x => 0.2x = 40 => x = 300 The correct answer: D Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: Manhattan Review India | Madhapur GMAT Coaching | Tarnaka GMAT Courses | Manhattan Review Hyderabad | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. ### 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 a post on a website gains a point if a user chooses to upvote it and loses a point if a user chooses to downvote it and that a particular post has a total of 60 points (with 40% of the votes being downvotes). We're asked for the total number of votes that have been cast for this post. This question can be solved in a couple of different ways, including by TESTing THE ANSWERS. Let's TEST Answer B first.... Answer B: 150 votes Since 40% of the votes are downvotes, that means there were (.4)(150) = 60 downvotes The rest were upvotes, so there were 150 - 60 = 90 upvotes The total score would be 90 - 60 = 30 points This is NOT a match for what we were told though (the post is supposed to have a score of 60 points). Thus, we clearly need MORE votes. Notice how 30 is exactly HALF of what we need it to be.... maybe we need to DOUBLE the number of votes... Answer D: 300 votes Since 40% of the votes are downvotes, that means there were (.4)(300) = 120 downvotes The rest were upvotes, so there were 300 - 120 = 180 upvotes The total score would be 180 - 120 = 60 points 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 • FREE GMAT Exam Know how you'd score today for$0

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