SOLUTION: jeremy uses one cleanser that is 25% acid and a second cleanser that is 50% acid. How many liters of each must be mixed together to produce 10. liters that is 40% acid?

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Question 736806: jeremy uses one cleanser that is 25% acid and a second cleanser that is 50% acid. How many liters of each must be mixed together to produce 10. liters that is 40% acid?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Express EVERYTHING in symbols.

jeremy uses one cleanser that is L% acid and a second cleanser that is H% acid. How many liters of each as u and v must be mixed together to produce M liters that is T% acid?

The system of equations to start should or could be this:
%28Lu%2BHv%29%2FM=T and u%2Bv=M.
The unknown variables to find and solve for are u and v.

Do the steps which I am leaving out from this post, and you could get symbolic solutions as: u=M%2A%28H-T%29%2F%28H-L%29 and v=M-M%2A%28H-T%29%2F%28H-L%29.

COMPUTING RESULTS
Just substitute the given values into the solution formulas.