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# Solution Y is 30 percent liquid X and 70 percent water. If 2

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Solution Y is 30 percent liquid X and 70 percent water. If 2 [#permalink]  11 Mar 2008, 18:05
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Solution Y is 30 percent liquid X and 70 percent water. If 2 kilograms of water evaporate from 8 kilograms of solution Y and 2 kilograms of solution Y are added to the remaining 6 kilograms of liquid, what percent of this new solution is liquid X?
(A) 30%
(B) 33 1/3%
(C) 37 1/2%
(D) 40%
(E) 50%

Last edited by el1981 on 11 Mar 2008, 18:54, edited 1 time in total.
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Re: PS: Solution [#permalink]  11 Mar 2008, 18:53
What are the choices B and C?

I am getting 37.5%
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Re: PS: Solution [#permalink]  13 Mar 2008, 18:24
1
KUDOS
also get 37.5%

we know that we have 8 kgs at the start, which is 2.4 Y and 5.6 water. after 2 kg water evaporates we have 6 kg total, with 2.4 Y and 3.6 water.

Now, we add 2 kg of Y, which is 0.6 Y and 1.4 water. We will have a total of 2.4+0.6=3 kg Y in the new mixture

The overall total will be 2+0.4+3.6+1.4 = 8

3/8 = 37.5%
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Re: PS: Solution [#permalink]  24 Apr 2008, 16:00
Is there another way to solve this problem?
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Re: PS: Solution [#permalink]  24 Apr 2008, 16:07
el1981 wrote:
Solution Y is 30 percent liquid X and 70 percent water. If 2 kilograms of water evaporate from 8 kilograms of solution Y and 2 kilograms of solution Y are added to the remaining 6 kilograms of liquid, what percent of this new solution is liquid X?
(A) 30%
(B) 33 1/3%
(C) 37 1/2%
(D) 40%
(E) 50%

Create a table...
__________X___Water___Total
Begining_0.3*8__0.7*8____8
Evap______0____-2______6

Add them all up for total solution X: 2.4+0+0.6 = 3
Find percentage: 3/8 = 37.5%
Re: PS: Solution   [#permalink] 24 Apr 2008, 16:07
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