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Some part of the 50% solution of acid was replaced with the

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Manager
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Joined: 21 Feb 2008
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Schools: UCLA Anderson '12
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Some part of the 50% solution of acid was replaced with the [#permalink] New post 21 Oct 2008, 10:41
Some part of the 50% solution of acid was replaced with the equal amount of 30% solution of acid. As a result, 40% solution of acid was obtained. What part of the original solution was replaced?


A. \frac{1}{5}

B. \frac{1}{4}

C. \frac{1}{2}

D. \frac{3}{4}

E. \frac{4}{5}

Answer is C. It's relatively easy to understand why 1/2 is correct but I can't logically put an equation together to solve the question.
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Re: Difficult Ratio question [#permalink] New post 21 Oct 2008, 12:16
duuuma wrote:
Some part of the 50% solution of acid was replaced with the equal amount of 30% solution of acid. As a result, 40% solution of acid was obtained. What part of the original solution was replaced?


A. \frac{1}{5}

B. \frac{1}{4}

C. \frac{1}{2}

D. \frac{3}{4}

E. \frac{4}{5}

Answer is C. It's relatively easy to understand why 1/2 is correct but I can't logically put an equation together to solve the question.



x is part of solution replaced

0.5 (1-x) +0.3*x = 0.4*1

x=1/2
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Re: Difficult Ratio question [#permalink] New post 21 Oct 2008, 13:10
Manager
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Re: Difficult Ratio question [#permalink] New post 21 Oct 2008, 13:48
Not sure I understand your comment. What do you mean by, "cannot add anything..."?
GMAT TIGER wrote:
0.5 (1-X) + 0.3X = 0.4
X = 1/2

CANNOT ADD ANYTHING TO ABOVE SOL.
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Re: Difficult Ratio question [#permalink] New post 21 Oct 2008, 15:39
duuuma wrote:
Not sure I understand your comment. What do you mean by, "cannot add anything..."?
GMAT TIGER wrote:
0.5 (1-X) + 0.3X = 0.4
X = 1/2

CANNOT ADD ANYTHING TO ABOVE SOL.


I meant "CANNOT ADD ANYTHING TO THE ABOVE SOL.by "x2suresh". Is it clear now, "duuuma"?
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Manager
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Re: Difficult Ratio question [#permalink] New post 21 Oct 2008, 15:49
I'm guessing you meant that you agree with his solution and cannot add anything on top of that? Makes sense - thanks :-D

GMAT TIGER wrote:

I meant "CANNOT ADD ANYTHING TO THE ABOVE SOL.by "x2suresh". Is it clear now, "duuuma"?
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Re: Difficult Ratio question [#permalink] New post 21 Oct 2008, 17:31
duuuma wrote:
I'm guessing you meant that you agree with his solution and cannot add anything on top of that? Makes sense - thanks :-D

GMAT TIGER wrote:

I meant "CANNOT ADD ANYTHING TO THE ABOVE SOL.by "x2suresh". Is it clear now, "duuuma"?


you got it, duuuma. 8-) :) :-D
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Re: Difficult Ratio question   [#permalink] 21 Oct 2008, 17:31
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