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 - Creator of GMATPrepNow.com
