SOLUTION: How many milliliters of a 18% hydrogen peroxide solution and how many milliliters of a 10% hydrogen peroxide solution should be mixed to get 112 mL of a 12% hydrogen peroxide solut

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: How many milliliters of a 18% hydrogen peroxide solution and how many milliliters of a 10% hydrogen peroxide solution should be mixed to get 112 mL of a 12% hydrogen peroxide solut      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 714727: How many milliliters of a 18% hydrogen peroxide solution and how many milliliters of a 10% hydrogen peroxide solution should be mixed to get 112 mL of a 12% hydrogen peroxide solution?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x ml. of 10% solution and y ml. of 18% solution, want 12% result, 112 ml. size.

%2810x%2B18y%29%2F112=12 AND x%2By=112

The percentage equation:
%285x%2B9y%29%2F56=12
5x%2B9y=672

System to solve is:
5x%2B9y=672
x%2By=112

Multiply second equation by 5 and subtract from first equation.
5x%2B9y-5%28x%2By%29=672-5%2A112
9y-5y=112
4y=112
highlight%28y=28%29 ml. of the 18% hydrogen peroxide solution.

Now, you can find x, using x+y=112.