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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 chef mixes P ounces of 60% sugar solution with Q ounces of tagged by: AAPL ##### This topic has 1 expert reply and 0 member replies ### Top Member ## A chef mixes P ounces of 60% sugar solution with Q ounces of ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult Magoosh A chef mixes P ounces of 60% sugar solution with Q ounces of a 10% sugar solution to produce R ounces of a 25% sugar solution. What is the value of P? 1) Q = 455 mL 2) R = 650 mL OA D. ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10071 messages Followed by: 494 members Upvotes: 2867 GMAT Score: 800 Hi All, To start, you have to be very careful about your assumptions with this question. You will likely find that doing a little bit of extra work will help you to be sure that you have the correct answer. From the prompt, we know that we're mixing P ounces of a 60% sugar solution with Q ounces of a 10% sugar solution to form R ounces of a 25% sugar solution. We're asked for the value of P.... Before dealing with the two Facts, I'm going to set up a "weighted average" equation using the above information.... (.6P + .1Q)/(P+Q) = .25 .6P + .1Q = .25P + .25Q .35P = .15Q 35P = 15Q P/Q = 15/35 = 3/7. This means that for every 3 ounces of P, we have 7 ounces of Q. However, we don't yet know the exact number of ounces of each we have.... We also know that R = P + Q Looking at this from an algebraic standpoint, we have 3 variables and 2 equations..... 1) Q = 455 With this equation, we now have 3 variables and 3 equations. P/Q = 3/7 = P/455. We can solve for the value of P. Fact 1 is SUFFICIENT 2) R = 660 Since we know that R = P + Q and the ratio of P/Q = 3/7, we CAN answer the question. Here's how... With the given ratio, for every 3 ounces of P, we have 7 ounces of Q. In basic terms, that means that every 10 ounces = 3 ounces of P and 7 ounces of Q. With a total of 660 ounces, we have 66(3) = 198 ounces of P and 66(7) = 462 ounces of Q. Fact 2 is SUFFICIENT Final Answer: D GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com • 1 Hour Free BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep 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 • FREE GMAT Exam Know how you'd score today for$0

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