Question 1057510: a solution contains 5% salt. How much water should be added to 70 ounces of this solution to make 3.5% solution? Found 2 solutions by josgarithmetic, ikleyn:Answer by josgarithmetic(39620) (Show Source):
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a solution contains 5% salt. How much water should be added to 70 ounces of this solution to make 3.5% solution?
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Let W be the volume of water to be added, in ounces.
Then the total volume of liquid after adding will be 70+W ounces.
The "salt" equation is
= 0.035 ( 0.05 is 5%; 0.035 is 3.5% )
or, which is the same
0.05*70 = 0.035*(70+W).
Simplify. First, multiply both sides by 1000:
50*70 = 35(70+W),
3500 = 2450 + 35W,
3500 - 2450 = 35W,
1050 = 35W ---> W = = 30.
Answer. 30 ounces of water must be added.
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