Two equally sized jugs full of water are each emptied into t

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Two equally sized jugs full of water are each emptied into t [#permalink]

11 Dec 2012, 07:37

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Two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs, X and Y. Now, jug X is 1/5 full, while jug Y is 2/3 full. If water is poured from jug X into jug Y until jug Y is filled, what fraction of jug X then contains water?

A. 0
B. 1/15
C. 2/15
D. 1/10
E. 2/10

I have tried solving it using no's...Unable to get the right answer.Can anyone elaborate please?

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Re: Two equally sized jugs full of water are each emptied into t [#permalink]

11 Dec 2012, 09:53

apoorvarora wrote:

Two equally sized jugs full of water are each emptied into two separate unequally sized empty jugs, X and Y. Now, jug X is 1/5 full, while jug Y is 2/3 full. If water is poured from jug X into jug Y until jug Y is filled, what fraction of jug X then contains water?

a. 0
b. 1/15
c. 2/15
d. 1/10
e. 2/10

I have tried solving it using no's...Unable to get the right answer.Can anyone elaborate please?

Suppose the water in each jug is L liters
CX x (1/5) = L
CX = 5L liters

CX is capacity of X

CY x (2/3) = L
CY = 3L/2 liters

CY is capacity of Y

Now, Y is 3L/2 - L empty = L/2 empty
So, we can put only L/2 water in jug Y from Jug X

Jug X's remaining water = L - L/2 = L/2

Fraction of X which contains water = water / CX
= (L/2)/ 5L
= 1/10

Answer will be D
Hope it helps!
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Re: Two equally sized jugs full of water are each emptied into t [#permalink]

11 Dec 2012, 10:15

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apoorvarora wrote:

There are equal amounts of water in jars X and Y, say 2L, then:
The capacity of jar X is 10L (1/5*10=2L).
The capacity of jar Y is 3L (2/3*3=2L).

Now, in order jar Y to be full we need to pour 1L from jar X to jar Y, thus there will be 1L of water left in jar X, which is 1/10 of it.

Answer: D.

Similar question to practice: equal-amount-of-water-were-poured-into-two-empty-jars-of-98962.html?hilit=water
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Intern

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Re: Two equally sized jugs full of water are each emptied into t [#permalink]

11 Dec 2012, 17:44

thanx...for the explanation

Re: Two equally sized jugs full of water are each emptied into t [#permalink] 11 Dec 2012, 17:44

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Two equally sized jugs full of water are each emptied into t

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Two equally sized jugs full of water are each emptied into t

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