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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 ## Water is poured from a full 4-liter tagged by: Brent@GMATPrepNow ##### This topic has 2 expert replies and 1 member reply ### GMAT/MBA Expert ## Water is poured from a full 4-liter Water is poured from a full 4-liter bucket into three identical glasses until all four containers (the one bucket and the three glasses) are each 2/5 full. What is the capacity, in liters, of one glass? A) 4/5 B) 3/2 C) 2 D) 12/5 E) 5/2 Answer: C Source: www.gmatprepnow.com Difficulty level: 600 _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use our video course along with Sign up for our free Question of the Day emails And check out all of our 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! Master | Next Rank: 500 Posts Joined 15 Oct 2009 Posted: 321 messages Upvotes: 27 Brent@GMATPrepNow wrote: Water is poured from a full 4-liter bucket into three identical glasses until all four containers (the one bucket and the three glasses) are each 2/5 full. What is the capacity, in liters, of one glass? A) 4/5 B) 3/2 C) 2 D) 12/5 E) 5/2 Answer: C Source: www.gmatprepnow.com Difficulty level: 600 Let X = glass capacity in liters. Each glass is filled to 2/5 capacity so there are 6X/5 liters in the glasses Since bucket was full at 4 liters and is now 2/5 full, there are 8/5 liters remaining in the bucket By conservation of mass , 8/5 liters + 6X/5 liters = 4 liters and 6X/5= 12/5 therefore 6X=12 and X=C ### GMAT/MBA Expert GMAT Instructor Joined 08 Dec 2008 Posted: 12563 messages Followed by: 1245 members Upvotes: 5254 GMAT Score: 770 Brent@GMATPrepNow wrote: Water is poured from a full 4-liter bucket into three identical glasses until all four containers (the one bucket and the three glasses) are each 2/5 full. What is the capacity, in liters, of one glass? A) 4/5 B) 3/2 C) 2 D) 12/5 E) 5/2 Water is poured from the 4-liter bucket until the bucket is 2/5 full. This means that 3/5 of the water was POURED OUT In other words: volume of water POURED OUT = 3/5 of 4 liters = (3/5)(4) = 12/5 liters Those 12/5 liters of water are poured into 3 identical glasses, so ... ... the volume of water poured into ONE GLASS = 1/3 of 12/5 = (1/3)(12/5) = 12/15 = 4/5 liters In other words, each glass contains 4/5 of water. Let C = the capacity of one glass Since each glass is only 2/5 full, we can write: 2/5 of C = 4/5 liters of water Rewrite as: (2/5)C = 4/5 Solve: C = (4/5)/(2/5) = (4/5)(5/2) = 2 Answer: C Cheers, Brent _________________ Brent Hanneson â€“ Creator of GMATPrepNow.com Use our video course along with Sign up for our free Question of the Day emails And check out all of our 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 Legendary Member Joined 14 Jan 2015 Posted: 2667 messages Followed by: 122 members Upvotes: 1153 GMAT Score: 770 Brent@GMATPrepNow wrote: Water is poured from a full 4-liter bucket into three identical glasses until all four containers (the one bucket and the three glasses) are each 2/5 full. What is the capacity, in liters, of one glass? A) 4/5 B) 3/2 C) 2 D) 12/5 E) 5/2 Answer: C Source: www.gmatprepnow.com Difficulty level: 600 We could also do a little fun back-solving. Look at the answer choices. One of them is shining like a beacon of light and easy arithmetic. So test '2.' If each glass has a capacity of 2 liters, and each glass is 2/5 full, then each glass will contain (2/5)*2 = 4/5 liters. There are 3 of them, so that's 3 * (4/5) = 12/5 = 2 2/5 liters. There are a total of 4 liters, so the remaining 1 3/5 is left in the bucket. 1 3/5 = 8/5, and (8/5)/4 = 2/5, so we've got our answer, C _________________ Veritas Prep | GMAT Instructor Veritas Prep Reviews Save$100 off any live Veritas Prep GMAT Course

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