Water is poured from a full 4-liter bucket into three identical

Question

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

*Kudos for all correct solutions

A) 4/5
B) 3/2
C) 2
D) 12/5
E) 5/2

*Kudos for all correct solutions

0akshay0 · Accepted Answer

Method I Since bucket's capacity is 4 ltr. and it must be 2/5th full 2/5th of 4 ltr. = 8/5 Remaining water is divided into 3 glasses Therefore, 4 - 8/5 = 12/5 is divided into 3 glasses equally Each glass contains (12/5)/3 = 4/5 ltr. Since each of the 3 glasses are filled till 2/5th of its capacity capacity * 2/5 = 4/5 capacity = 2 ltr. Method II : Percentages Since after the transfer of water the bucket must be 2/5th full i.e. 40% = 0.4*4 = 1.6 ltr Remaining water i.e. 4-1.6 = 2.4 ltr must be divided into 3 glasses equally Each glass will contain 2.4/3 = 0.8 ltr Since each glass is 40% full we have 0.4*capacity = 0.8 capacity = 2ltr Hence option C is correct Hit Kudos if you liked it 8-)

demonhunter · Answer

Let x=2/5 of volume of one glass (v) V= ??

3/5 of 4lt bucket is distributed in 3 identical glass

3x = (3/5)*4 Therefor x= 4/5 lts ( 2/5)*v=4/5 therefore v=2 lts

gracie · Answer

let x=glass capacity
(3/5*4)/3=4/5 liter in each glass
4/5=2x/5
x=2 liters

BrentGMATPrepNow · Answer

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

Fdambro294 · Answer

(Step 1) calculate how many liters are in the bucket

4 liters and (2/5) or 40% remains in. The bucket

10% ——-> 0.4
40% ——-> 1.6

2.4 liters is then poured evenly into 3 glasses.

(2.4) / 3 = .8 liters per glass

This .8 liters in each glass only represents 40% of the Capacity if the Glass

.8 = (40%) (C)

.8 = .4 (C)

C = 2 Liters per glass

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ZulfiquarA · Answer

Capacity of Glass=x
Number of Glasses=3
Total Liters=4
2/5 of the bucket=4*2/5=8/5
 Equation , 3(2/5)x+8/5=4
x=2 liters

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