A Chemist has one solution that is 60% acid and a second solution that is 50% acid.

Question

A Chemist has one solution that is 60% acid and a second solution that is 50% acid. She wants to combine the solutions to make a new solution that is 54% acid. If she needs to make 400 ml of this new solution, how many milliliters of the two solutions should be mixed?

Answer 1

Let x = quantity of 60% acid &. y = quantity of 50% acid. And. x + y = 400. (Given)

then. (60x + 50y)/(x + y) = 54. So. (60x + 50(400-x)) = 54(400)

Simplifying we get. 10x = 1600. So x = 160 ml &. y = 400-x = 240 ml.