SOLUTION: A chemist mixes a 10% solution with a 50% acid solution to form 400ml of a 40% solution. How much of each solution should be used in the mixture?

Question 820344: A chemist mixes a 10% solution with a 50% acid solution to form 400ml of a 40% solution. How much of each solution should be used in the mixture?
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
u = volume of the 10% solution
v = volume of the 50% solution

and
Solve for u and v.

First simplify the rational equation:

Next, for convenience, subtract the "400" equation from this simplified "1600" equation and solve for v; and then use either equation to finish solving for the value of u.
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