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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 ## At a local coffee shop, pastries may have nuts, chocolate, ##### This topic has 1 member reply ### Top Member ## At a local coffee shop, pastries may have nuts, chocolate, ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult At a local coffee shop, pastries may have nuts, chocolate, both, or neither. If 400 pastries were sold Friday, and if of those, 60% contained chocolate how many of those sold contained only nuts? (1) The number of pastries containing neither is one-fourth of the number containing chocolate. (2) One third of pastries sold containing chocolate also contained nuts. OA A Source: Veritas Prep ### Top Member Legendary Member Joined 02 Mar 2018 Posted: 1104 messages Followed by: 2 members Top Reply Let chocolate only pastry = c Let both chocolate and nut pastry = x Let Nut only pastry = n Let neither nuts nor chocolate pastry = y $$c+x+n+y=400$$ 400 pastries for Friday sales $$60\%of400=\frac{60}{100}\cdot400=240\ pastries\ contains\ chocolate$$ $$c+x=240$$ Question How many of those sold contained only nuts? i.e find the value of n Statement 1 The numbers of pastries containing neither is one-fourth of the number containing chocolate $$g=\frac{1}{4}\left(c+x\right)$$ $$g=\frac{1}{4}\left(240\right)$$ $$=60\ pastes$$ Recall that $$c+x+n+y\ =400\$$ where c+x =240 and y = 60 $$240+n+60=400$$ $$300+n=400$$ $$n=400-300$$ $$n=100\ pastries$$ Statement 1 is SUFFICIENT. Statement 2 One- third of pastes sold containing chocolates also contained nuts $$x=\frac{1}{3}of\ \left(c+x\right)$$ $$where\ c+x=\ 240\ pastries\ sold\ contains\ chocolate$$ $$x=\frac{1}{3}\cdot240=80$$ This is not enough to calculate the value of n as the value of y is unknown hence statement 2 is INSUFFICIENT. Statement 1 alone is SUFFICIENT. $$Answer\ is\ Option\ A\$$ • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • Award-winning private GMAT tutoring Register now and save up to$200

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