# 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?

Aug 8, 2018

Mixture

#### Explanation:

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

$\left(n \times 0.50\right) + \left(\left(10 - n\right) \times 0.25\right) = 10 \times 0.40$

$0.50 n + 2.5 - 0.25 n = 4$

$0.25 n = 4 - 2.5$

$0.25 n = 1.5$

$n = 6$ 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.