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After 200 grams of water were added to the 24% solution of

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After 200 grams of water were added to the 24% solution of [#permalink] New post 17 Oct 2007, 13:31
After 200 grams of water were added to the 24% solution of alcohol, the strength of the solution went down by 1/3. How much of the 24% solution was used?

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 [#permalink] New post 17 Oct 2007, 15:04
see attachment:

Since we added 200 grams of water, and got a ratio of 16:8 = 2:1 then the solution had to be 400 grams and the answer should be (E)

:)
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 [#permalink] New post 18 Oct 2007, 09:00
What is the algebraic setup?
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 [#permalink] New post 18 Oct 2007, 11:02
A - total grams of alcohol
X - total grams of original solution

.24X=A

.16(x+200)=A

X=400
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 [#permalink] New post 19 Oct 2007, 22:40
KillerSquirrel wrote:
see attachment:

Since we added 200 grams of water, and got a ratio of 16:8 = 2:1 then the solution had to be 400 grams and the answer should be (E)

:)


Thank KillerSquirrel, this method is very useful.
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 [#permalink] New post 20 Oct 2007, 01:19
let's start it from water side

0.76Y+200=0.84(Y+200)

Y=400 grams
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 [#permalink] New post 03 Nov 2007, 16:43
KillerSquirrel wrote:
see attachment:

Since we added 200 grams of water, and got a ratio of 16:8 = 2:1 then the solution had to be 400 grams and the answer should be (E)

:)


I like this method but from the diagram the ratio of water to alcohol is 2:1 which means there's twice as much water as alcohol right?
so if there is 200g of water, shouldn't there be 100g of alcohol??
  [#permalink] 03 Nov 2007, 16:43
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