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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 fruit salad mixture consists of apples, peaches, and grape ##### This topic has 3 expert replies and 1 member reply ## A fruit salad mixture consists of apples, peaches, and grape A fruit salad mixture consists of apples, peaches, and grapes. There are 3 times as many pounds of apples as grapes and 5/2 times as many pounds of peaches as grapes. If a mixture that has an average (arithmetic mean) of 13 pounds per fruit, how many more pounds of apples than grapes does the mixture have? A. 15 B. 12 C. 9 D. 6 E. 5 Is there a strategic approach to this question? Can any experts assist? ### GMAT/MBA Expert GMAT Instructor Joined 04 Oct 2017 Posted: 551 messages Followed by: 11 members Upvotes: 180 Top Reply Quote: A fruit salad mixture consists of apples, peaches, and grapes. There are 3 times as many pounds of apples as grapes and 5/2 times as many pounds of peaches as grapes. If a mixture that has an average (arithmetic mean) of 13 pounds per fruit, how many more pounds of apples than grapes does the mixture have? A. 15 B. 12 C. 9 D. 6 E. 5 Is there a strategic approach to this question? Can any experts assist? The fruit salad mixture consists of three fruits; apples, peaches and grapes. The mixture has an average of 13 pounds per fruit, therefore, total weight of the salad will be: $$=13\times3=39\ pounds$$ Let the grapes be x pounds, then, apples = 3x peaches = 5x/2 $$x+3x+\frac{5}{2}x=39$$ $$4x+\frac{5}{2}x=39$$ $$\frac{8x+5x}{2}=39$$ $$\frac{13x}{2}=39$$ $$x=39\times\frac{2}{13}$$ $$x=3\times2=6$$ Therefore, grapes are 6 pounds. We are asked to find how many more pounds of apples than grapes does the mixture have? $$Apples\ =\ 3x=3\times6=18pounds$$ Therefore, apples are 18 - 6 = 12 pounds more than grapes in the mixture. Hence, Option B is correct. Hope it helps. I am available, if you'd like any follow up. _________________ GMAT Prep From The Economist We offer 70+ point score improvement money back guarantee. Our average student improves 98 points. Free 7-Day Test Prep with Economist GMAT Tutor - Receive free access to the top-rated GMAT prep course including a 1-on-1 strategy session, 2 full-length tests, and 5 ask-a-tutor messages. Get started now. ### GMAT/MBA Expert Elite Legendary Member Joined 23 Jun 2013 Posted: 10197 messages Followed by: 497 members Upvotes: 2867 GMAT Score: 800 Hi ardz24, We're told that a fruit salad mixture consists of apples, peaches, and grapes. There are 3 times as many pounds of apples as grapes and 5/2 times as many pounds of peaches as grapes. We're told that a mixture has an AVERAGE of 13 pounds of EACH of the 3 fruits. We're asked how many MORE pounds of apples than grapes the mixture has. Since the total amount of fruit in the mixture is relatively small, we can do a bit of 'brute force' arithmetic to answer this question. To start, with an AVERAGE of 13 pounds of each type of fruit, there would be 3(13) = 39 total pounds of fruit in the mixture. Given the ratios of fruit involved, we know... IF..... we have 1 pound of grapes, then we have 3 pounds of apples and 2.5 pounds of peaches.... total weight = 1+3+2.5 = 6.5 pounds with 2 pounds of grapes, we have 6 pounds of apples and 5 pounds of peaches... total weight = 2+6+5 = 13 pounds Etc. Notice that if we TRIPLE the second option, then we'll have 39 total pounds of fruit... 6 pounds of grapes, 18 pounds of apples and 15 pounds of peaches... total weight = 6+18+15 = 39 pounds. The 39-pound total is an exact match for what we were told, so we know there are 18 pounds of apples and 6 pounds of grapes. Thus, there are 18-6 = 12 MORE pounds of apples than grapes in the mixture. 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 Apr 2015 Posted: 2950 messages Followed by: 19 members Upvotes: 43 ardz24 wrote: A fruit salad mixture consists of apples, peaches, and grapes. There are 3 times as many pounds of apples as grapes and 5/2 times as many pounds of peaches as grapes. If a mixture that has an average (arithmetic mean) of 13 pounds per fruit, how many more pounds of apples than grapes does the mixture have? A. 15 B. 12 C. 9 D. 6 E. 5 We can let the number of pounds of apples = a, the number of pounds of peaches = p, and the number of pounds of grapes = g and create the equations: a = 3g and p = 5g/2 We also know that the total number of pounds in the mixture is 3 x 13 = 39, thus: a + p + g = 39 Substituting to get all our variables in terms of g, we have: 3g + 5g/2 + g = 39 Multiplying by 2 we have: 6g + 5g + 2g = 78 13g = 78 g = 6 So a = 18. There are 12 more pounds of apples than there are of grapes. Answer: B _________________ 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 Senior | Next Rank: 100 Posts Joined 15 Jan 2018 Posted: 83 messages Write a triple ratio Apples:Peaches:Grapes 3:5/2:1 Double it to get whole numbers 6:5:2 which has a total of 6 + 5 + 2 = 13 parts (which matches the question nicely, PER FRUIT) As there are 3 fruits, multiply by 3 18:15:6 = 39 parts Subtract Apples - Grapes = 18 - 6 = 12 Job done. • 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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