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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 ## Arithmetic tagged by: BTGmoderatorRO ##### This topic has 2 expert replies and 0 member replies ## Arithmetic After eating half of the chocolate mini bars in a can, Clayton gave one fourth of the remaining mini bar chocolates to his buddy and realized that he only had 6 chocolate mini bars left. How many mini bar chocolates did he originally have? (A) 2 (B) 4 (C) 8 (D) 16 (E) 18 OA is D pls, I need an Expert to give me a perfect interpretation of this question.Thanks ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Quote: After eating half of the chocolate mini bars in a can, Clayton gave one fourth of the remaining mini bar chocolates to his buddy and realized that he only had 6 chocolate mini bars left. How many mini bar chocolates did he originally have? (A) 2 (B) 4 (C) 8 (D) 16 (E) 18 OA is D pls, I need an Expert to give me a perfect interpretation of this question.Thanks Hi Roland2rule, Let's take a look at your question. Let 'x' be the total chocolates in the can. After eating half of the chocolate mini bars in a can, remaining chocolates will be: $$x-\frac{1}{2}x=\frac{1}{2}x$$ Clayton gave one fourth of the remaining mini bar chocolates to his buddy. $$=\left(\frac{1}{4}\right)\frac{1}{2}x=\frac{1}{8}x$$ After giving chocolates to his buddy, only 6 chocolate mini bars left. We can write it as: $$\frac{1}{2}x-\frac{1}{8}x=6$$ $$x\left(\frac{1}{2}-\frac{1}{8}\right)=6$$ $$x\left(\frac{4-1}{8}\right)=6$$ $$x\left(\frac{3}{8}\right)=6$$ $$x=6\times\frac{8}{3}$$ $$x=2\times8=16$$ Hence, there were 16 chocolates in the can originally. Therefore, Option D is correct. Hope it helps. I am available if you'd like any follow up. _________________ GMAT Prep From The Economist We offer 70+ point score improvement money back guarantee. Our average student improves 98 points. Free 7-Day Test Prep with Economist GMAT Tutor - Receive free access to the top-rated GMAT prep course including a 1-on-1 strategy session, 2 full-length tests, and 5 ask-a-tutor messages. Get started now. ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10197 messages Followed by: 497 members Upvotes: 2867 GMAT Score: 800 Hi Roland2rule, We're told that Clayton eats HALF of the chocolate mini bars in a can, then gives 1/4 of the remaining mini bar chocolates to his buddy and is left with 6 chocolate mini bars. We're asked for the number of mini bar chocolates originally in the can. This question can be solved by TESTing THE ANSWERS. Since Clayton ended up with 6 bars after eating HALF and giving away some of the others, he clearly had MORE than 12 chocolate bars, so the correct answer is either D or E. Let's TEST Answer D: 16 bars IF.... Original number = 16 Clayton eats HALF = 8.... leaving 8 remaining 1/4 given to a buddy = (1/4)(8) = 2 given away Bars remaining = 8 - 2 = 6 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 • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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