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How much water (in grams) should be added to the

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Senior Manager
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How much water (in grams) should be added to the [#permalink] New post 29 Mar 2008, 11:35
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How much water (in grams) should be added to the 35%-solution of acid to obtain the 10%-solution?

1. There are 50 grams of the 35%-solution
2. In the 35%-solution the ratio of acid to water is 7:13

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Senior Manager
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Re: DS: Mixtures [#permalink] New post 29 Mar 2008, 12:24
A.
w- water added (0% acid)
if 35% of 50 gram solution is acid
17.5=0.1*(50+w)
w=125 gram

st2) repeats the info already exists
35% by itself means 35/100 or 7/20 ratio, in case solution consist of only water and acid. U cannot say ecact weight of water.
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Re: DS: Mixtures [#permalink] New post 29 Mar 2008, 20:11
I definitely agree that statement 2 is another way of writing what's already given, that 35% of the solution is acid.

As for statement 1, another way to think about it is the following.

0.35 x grams of acid solution
------------------------------- = 0.10
grams of acid solution + water

once you plug in the value for the grams of acid solution and solve for the water amount, you'll get 2.5x the acid solution, which is 125
Re: DS: Mixtures   [#permalink] 29 Mar 2008, 20:11
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