SOLUTION: You have a solution containing 10% acid solution and a solution containing 30% acid solution. How much of the 30% solution must you add to the 1 liter of the 10% solution to creat

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Question 991518: You have a solution containing 10% acid solution and a solution containing 30% acid solution.
How much of the 30% solution must you add to the 1 liter of the 10% solution to create a mixture that is 22% acid?
If we start with a 10% acid solution, can we obtain a 30% acid solution using a mixture of the two solutions listed above? Explain.
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
Here is setting-up and resolution for the first question:

Let v be how much of the 30% solution to use.
AmountOfAcid%2FAmountOfMixture=FractionAcid

But using percents on both sides,
%281%2A10%2B30v%29%2F%28v%2B1%29=22
-
%2830v%2B10%29%2F%28v%2B1%29=22
30v%2B10=22%28v%2B1%29
30v%2B10=22v%2B22
8v%2B10=22
8v=12
v=12%2F8
highlight%28v=1%261%2F2%29, liters of the 30% solution.