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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 ## Two vessels contain mixtures of milk and water tagged by: Mo2men ##### This topic has 1 expert reply and 0 member replies ## Two vessels contain mixtures of milk and water ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Two vessels contain mixtures of milk and water in the ratio of 4:9 in the first vessel and in the ratio of 2:7 in the second vessel. In what ratio should the contents be mixed such that the resultant mixture has milk and water in the ratio of 2:5. A) 1:2 B) 2:1 C)18:7 D) 21:17 E) 26:9 OA: E ### GMAT/MBA Expert GMAT Instructor Joined 25 Apr 2015 Posted: 2424 messages Followed by: 18 members Upvotes: 43 Mo2men wrote: Two vessels contain mixtures of milk and water in the ratio of 4:9 in the first vessel and in the ratio of 2:7 in the second vessel. In what ratio should the contents be mixed such that the resultant mixture has milk and water in the ratio of 2:5. A) 1:2 B) 2:1 C)18:7 D) 21:17 E) 26:9 OA: E We can let the amount of milk and water be 4x and 9x, respectively, in the first vessel. Likewise, we can let the amount of milk and water be 2y and 7y, respectively, in the second vessel. Therefore, we have: (4x + 2y)/(9x + 7y) = 2/5 5(4x + 2y) = 2(9x + 7y) 20x + 10y = 18x + 14y 2x = 4y x = 2y So the amount of mixture in the first vessel, in terms of y, is 4(2y) + 9(2y) = 26y, and the amount of mixture in the second vessel is 2y + 7y = 9y. Therefore, the ratio of the contents in the first vessel to the second vessel is 26y/(9y) = 26/9. Answer: E _________________ 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 • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • FREE GMAT Exam Know how you'd score today for$0

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