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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 drink holding 6 ounces of an alcoholic drink that... tagged by: AAPL ##### This topic has 2 expert replies and 1 member reply ### Top Member ## A drink holding 6 ounces of an alcoholic drink that... A drink holding 6 ounces of an alcoholic drink that is 1 part rum to 2 parts coke is added to a jug holding 32 ounces of an alcoholic drink that is 1 part rum to 3 parts coke. What is the ratio of rum to coke in the resulting mixture? A. 2:5 B. 5:14 C. 3:5 D. 4:7 E. 14:5 The OA is B. Can I say Add 6 ounces + 32 ounces = 38 So my ratio a:b will be such that a + b divides 38 equally Looking at options we can see 14+5 = 19 But we have two options utilizing those numbers. But if you look the ratios 1:2 of mixture 1 and 1:3 of mixture 2 then it's certain that coke will be higher So correct answer should be 5:14 as ratio asked and given is rum: coke. Is there a strategic approach to this PS question? Can any experts help me, please? Thanks! ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 9944 messages Followed by: 493 members Upvotes: 2867 GMAT Score: 800 Hi AAPL, We're told that a drink holding 6 ounces of an alcoholic drink that is 1 part rum to 2 parts coke is added to a jug holding 32 ounces of an alcoholic drink that is 1 part rum to 3 parts coke. We're asked for the ratio of rum to coke in the resulting mixture. Your logic to approaching this question is perfect. Since this question can be viewed as a Weighted Average, you can also use the averages of the two individual mixtures to eliminate answers. When combining a mix that is 1:2 with a mix that is 1:3, the OVERALL ratio will have to be 'between' those two ratios. For example, Answer C would be the equivalent of 1:1.6666, but that's NOT between 1:2 and 1:3, so that ratio is not a possible result; you can eliminate Answers D and E for the same reason. IF you were combining EQUAL amounts of the two mixes, then the ratio would end up 'in the middle' - 1:2.5 (which is the equivalent of 2:5). That doesn't happen here though - there's LOTS more of the 1:3 mix, so 2:5 cannot be the answer either. That leaves us with just one option: the correct answer. Final Answer: B GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com ### GMAT/MBA Expert GMAT Instructor Joined 25 May 2010 Posted: 14932 messages Followed by: 1855 members Upvotes: 13060 GMAT Score: 790 AAPL wrote: A drink holding 6 ounces of an alcoholic drink that is 1 part rum to 2 parts coke is added to a jug holding 32 ounces of an alcoholic drink that is 1 part rum to 3 parts coke. What is the ratio of rum to coke in the resulting mixture? A. 2:5 B. 5:14 C. 3:5 D. 4:7 E. 14:5 6 ounces of an alcoholic drink is 1 part rum to 2 parts coke. Since rum : coke = 1:2 = 2:4, this drink is composed of 2 ounces of rum and 4 ounces of coke, for a total of 6 ounces. 32 ounces of an alcoholic drink that is 1 part rum to 3 parts coke Since rum : coke = 1:3 = 8:24, this drink is composed of 8 ounces of rum and 24 ounces of coke, for a total of 32 ounces. Mixture of the two drinks: (total rum) : (total coke) = (2+8) : (4+24) = 10:28 = 5:14. The correct answer is B. _________________ Mitch Hunt Private Tutor for the GMAT and GRE GMATGuruNY@gmail.com If you find one of my posts helpful, please take a moment to click on the "UPVOTE" icon. Available for tutoring in NYC and long-distance. For more information, please email me at GMATGuruNY@gmail.com. Student Review #1 Student Review #2 Student Review #3 Free GMAT Practice Test How can you improve your test score if you don't know your baseline score? Take a free online practice exam. Get started on achieving your dream score today! Sign up now. ### Top Member Legendary Member Joined 29 Oct 2017 Posted: 682 messages Followed by: 4 members Hi AAPL, Another way to solve this question can be, .................................. Rum ..................... Coke ................. Total First Drink .............. 2 ............................ 4 ..................... 6 (Ratio 1:2) Second Drink ....... 8 ............................. 24 ................... 32 (Ratio 1:3) Total ........................ 10 ........................... 28 ................... 38 Ratio = 10:28 = 5:14. 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