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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 ## If 12 cans of soda cost x dollars, then how much will... tagged by: swerve ##### This topic has 1 expert reply and 0 member replies ### Top Member ## If 12 cans of soda cost x dollars, then how much will... If 12 cans of soda cost x dollars, then how much will y cans of soda cost at this rate, in cents? $$A)\ \frac{3xy}{25}$$ $$B)\ \frac{xy}{12}$$ $$C)\frac{3y}{25x}$$ $$D)\frac{25xy}{3}$$ $$E)\frac{12y}{x}$$ The OA is D. Please, can any expert explain this PS question for me? I have many difficulties to understand why that is the correct answer. Thanks. ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Hello swerve. We have 12 cans of soda cost x$, that is to say, $$12\cdot s=x\ dollars\ \leftrightarrow\ s=\frac{x\ }{12}dollars.$$ Now, y cans of soda will cost $$y\cdot s=y\cdot\frac{x}{12}dollars\ \leftrightarrow\ y\cdot s=\frac{xy}{12}dollars.$$ Now, we have to convert this to cents.

Using that 1$=100cents we will get $$\frac{xy\ dollars}{12}=\frac{xy\ dollars}{12}\cdot\frac{100\ cents}{1\ dollar}=\frac{25xy}{3}.$$ So, the correct answer is D . I hope this may help you. I'm available if you'd like a follow up. Regards, _________________ 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. • Award-winning private GMAT tutoring Register now and save up to$200

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