How many liters of each should she mix to get 490 liters of a hydrochloric acid solution with a 45% acid concentration?

Question

A chemist has a 20% hydrochloric acid solution and a 55% hydrochloric acid solution. How many liters of each should she mix to get 490 liters of a hydrochloric acid solution with a 45% acid concentration?

Answer 1

0.2x + 0.55(490 - x) = 0.45(490)

0.35x = 49

 

Solve for x and (490-x)

x represents the volume in liters of 20% hydrochloric acid solution

(490-x) represents the volume in liters of 55% hydrochloric acid solution

 

Can you take it from there Crystal?