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

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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?

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

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11 Dec 2012, 09:53

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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

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

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11 Dec 2012, 10:15

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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?

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.

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

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02 Apr 2014, 22:06

1/5 of jug X = 2/3 of jug Y We have to fill 1/3 more of jug Y, which is therefore 1/10 of jug X => Proportion of jug X that will remain filled = 1/5 - 1/10 = 1/10

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

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16 May 2015, 15:38

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

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20 Dec 2015, 01:56

GyanOne wrote:

1/5 of jug X = 2/3 of jug Y We have to fill 1/3 more of jug Y, which is therefore 1/10 of jug X => Proportion of jug X that will remain filled = 1/5 - 1/10 = 1/10

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