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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 ##### 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 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 Source: Magoosh ### GMAT/MBA Expert GMAT Instructor Joined 22 Aug 2016 Posted: 1979 messages Followed by: 30 members Upvotes: 470 Top Reply BTGmoderatorDC wrote: 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 Source: Magoosh From the given information, we have R = P + Q From the first solution, we have Sugar content = 60% of P = 0.6P; and Water content = 40% of P = 0.4P From the second solution, we have Sugar content = 10% of Q = 0.1Q; and Water content = 90% of Q = 0.9Q Total sugar content = 0.6P + 0.1Q; Total water content = 0.4P + 0.9Q Since is given that the combined solution of R ounces a solution of a 25% sugar solution, we have sugar content in the final solution = 25% of R = 0.25R = 0.25(P + Q) => 0.6P + 0.1Q = 0.25(P + Q) => P = 3Q/7 ---(1) We have to get the value of P. Let's take each statement one by one. (1) Q = 455 ml Sufficient. P = 3Q/7 = 3*(455/7) = 195 ml (2) R = 650 ml => R = P + Q = 650 => Q = 650 - P ---(2) From (1) and (2), we have P = 3Q/7 = 3(650 - P)/7 => 7P = 650*3 - 3P 10P = 650*3 P = 195 ml The correct answer: D Hope this helps! -Jay _________________ Manhattan Review GMAT Prep Locations: GRE Manhattan | ACT Tutoring Houston | SAT Prep Courses Seattle | Charlotte IELTS Tutoring | and many more... Schedule your free consultation with an experienced GMAT Prep Advisor! Click here. • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE 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 • FREE GMAT Exam Know how you'd score today for$0

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