Two equally sized jugs full of water are each emptied into t : GMAT Problem Solving (PS)
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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 [#permalink]

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11 Dec 2012, 06:37
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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]

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11 Dec 2012, 08:53
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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

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

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11 Dec 2012, 09:15
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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.

Similar question to practice: equal-amount-of-water-were-poured-into-two-empty-jars-of-98962.html?hilit=water
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Re: Two equally sized jugs full of water are each emptied into t [#permalink]

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11 Dec 2012, 16:44
thanx...for the explanation
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Re: Two equally sized jugs full of water are each emptied into t [#permalink]

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18 Jun 2013, 00:46
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Jug X is filled 1/5th = 1/5 x.............. (1)
Jug Y is filled 2/3rd = 2/3 y................(2)

From the condition given, (1) = (2)
So, 1/5x = 2/3y.............................. (3)

To fill the Jug Y completely, additional water required-
= y-2/3y
= 1/3y............................................ (4)

Comparing (3) & (4), we get 1/3y = 1/10 x
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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, 07:08
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$$\frac{1}{5}Cx = \frac{2}{3}Cy$$

$$\frac{Cx}{Cy} = \frac{10}{3}$$

10x in X ----------- 3x in Y

One fifth of 10x = 2x
Two third of 3x = 2x capacity available x

So x is transfered from X to Y quanity left x

thus, $$\frac{x}{10x} = \frac{1}{10}$$
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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, 21:06
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

Option (D).
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Re: Two equally sized jugs full of water are each emptied into t [#permalink]

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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, 00:56
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

Option (D).

Hey Gyanone

I do not understand how 1/3 is 1/10 of jug y
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Re: Two equally sized jugs full of water are each emptied into t [#permalink]

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30 Dec 2015, 21:02
1/5x=2/3y

x/y=10/3

so (1/3)*3=1 unit is free in Y and (1/5)*10=2 units X can give Y

1/10 leaves in X after pouring Y

D
Re: Two equally sized jugs full of water are each emptied into t   [#permalink] 30 Dec 2015, 21:02
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