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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 paint mixture was formed by mixing exactly 3 colors of tagged by: AbeNeedsAnswers ##### This topic has 2 expert replies and 0 member replies ## A paint mixture was formed by mixing exactly 3 colors of ## Timer 00:00 ## Your Answer A B C D E ## Global Stats Difficult A paint mixture was formed by mixing exactly 3 colors of paint. By volume, the mixture was x% blue paint, y% green paint, and z% red paint. If exactly 1 gallon of blue paint and 3 gallons of red paint were used, how many gallons of green paint were used? (1) x = y (2) z = 60 D Source: Official Guide 2020 ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12991 messages Followed by: 1249 members Upvotes: 5254 GMAT Score: 770 AbeNeedsAnswers wrote: A paint mixture was formed by mixing exactly 3 colors of paint. By volume, the mixture was x% blue paint, y% green paint, and z% red paint. If exactly 1 gallon of blue paint and 3 gallons of red paint were used, how many gallons of green paint were used? (1) x = y (2) z = 60 D Source: Official Guide 2020 Target question: How many gallons of green paint were used? Given: A paint mixture was formed by mixing exactly 3 colors of paint. By volume, the mixture was x% blue paint, y% green paint, and z% red paint. 1 gallon of blue paint and 3 gallons of red paint were used. In other words, we have: 1 gallon of BLUE paint representing x% of the mixture 3 gallons of RED paint representing z% of the mixture ? gallons of GREEN paint representing y% of the mixture Statement 1: x = y In other words, BLUE paint and GREEN paint comprise the same PERCENTAGE of volume in the mixture This means the volume of BLUE paint in the mixture = the volume of GREEN paint in the mixture Since we know there's 1 gallon of BLUE paint in the mixture, we must also have 1 gallon of GREEN paint in the mixture Since we can answer the target question with certainty, statement 1 is SUFFICIENT Statement 2: z = 60 In other words, RED paint comprises 60% of the mixture In other words, 3 gallons of RED paint = 60% of the mixture's TOTAL volume It also means that 1 gallon of BLUE paint = 20% of the mixture's TOTAL volume This means the REMAINING 20% of the mixture must be GREEN paint. We already know that 1 gallon = 20% of the mixture So, we must also have 1 gallon of GREEN paint in the mixture Since we can answer the target question with certainty, statement 2 is SUFFICIENT Answer: D Cheers, Brent _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use my video course along with Sign up for free Question of the Day emails And check out all of these free resources GMAT Prep Now's comprehensive video course can be used in conjunction with Beat The GMATâ€™s FREE 60-Day Study Guide and reach your target score in 2 months! ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10197 messages Followed by: 496 members Upvotes: 2867 GMAT Score: 800 Hi All, We're told that a paint mixture was formed by mixing exactly 3 colors of paint. By volume, the mixture was X% blue paint, Y% green paint, and Z% red paint and exactly 1 gallon of BLUE paint and 3 gallons of RED paint were used. We're asked for the number of gallons of green paint that were used. This question is built around 'System math' and has a great, built-in math shortcut that we can take advantage of.... To start, since there are only 3 colors in the mixture - and each color represents a certain percentage of the total, we can create the following equation: X + Y + Z = 100. In addition, we know exactly how much blue paint and red paint were used, so we can create a second equation (based around the percentages) - we used 3 times the amount of RED paint as BLUE paint, so... Z = 3X We now have 3 variables and 2 unique equations. If we have a third unique equation, then we'll have a System of equations and can solve for all 3 variables - meaning that we COULD answer the question that's asked (and without actually having to do all of that math). (1) X = Y Fact 1 gives us a third unique equation, so COULD determine the amount of green paint. Fact 1 is SUFFICIENT (2) Z = 60 Fact 2 also gives us a third unique equation, so COULD determine the amount of green paint. Fact 2 is SUFFICIENT Final Answer: D GMAT assassins aren't born, they're made, Rich _________________ Contact Rich at Rich.C@empowergmat.com • Free Veritas GMAT Class Experience Lesson 1 Live Free 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 • 5 Day FREE Trial Study Smarter, Not Harder Available with Beat the GMAT members only code • 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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