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Register now and save up to $200 Available with Beat the GMAT members only code • Reach higher with Artificial Intelligence. Guaranteed Now free for 30 days 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 Trial & Practice Exam 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 • Get 300+ Practice Questions 25 Video lessons and 6 Webinars for FREE Available with Beat the GMAT members only code • Free Veritas GMAT Class Experience Lesson 1 Live Free Available with Beat the GMAT members only code ## 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 Brent@GMATPrepNow GMAT Instructor Joined 08 Dec 2008 Posted: 11415 messages Followed by: 1229 members Upvotes: 5254 GMAT Score: 770 #### Water is poured from a full 4-liter Wed Mar 29, 2017 6:04 am 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€“ Founder of GMATPrepNow.com Use our video course along with Check out the online reviews of our course Come see 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 DavidG@VeritasPrep Legendary Member Joined 14 Jan 2015 Posted: 2667 messages Followed by: 120 members Upvotes: 1153 GMAT Score: 770 Thu Mar 30, 2017 6:52 am 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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### GMAT/MBA Expert

Brent@GMATPrepNow GMAT Instructor
Joined
08 Dec 2008
Posted:
11415 messages
Followed by:
1229 members
5254
GMAT Score:
770
Thu Mar 30, 2017 6:09 am
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

Cheers,
Brent

_________________
Brent Hanneson â€“ Founder of GMATPrepNow.com
Use our video course along with

Check out the online reviews of our course
Come see all of our free resources

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### Top Member

regor60 Master | Next Rank: 500 Posts
Joined
15 Oct 2009
Posted:
251 messages
27
Wed Mar 29, 2017 9:32 am
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

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

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