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?

1 Answer
Aug 8, 2018

Answer:

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.