Question

A chemist has one solution that is 50% acid. She has another solution that is 25% acid. How many liters of each type of acid solution should she combine to get 10 liters of 40% acid solution?

Answer 1

Mixture

Explanation:

n liters from `50%` acid solution and `10-n` liters from `25%` acid solution to produce 10 liters of 40% acid solution.

`(ntimes0.50) + ((10-n)times0.25) = 10times0.40`

`0.50n + 2.5 - 0.25n = 4`

`0.25n = 4-2.5`

`0.25n = 1.5`

`n=6` liters from `50%` acid solution.

Take 6 liters from `50%` acid solution and 4 liters from `25%` acid solution. The final mixture will be 10 liters and `40%` acid solution.