SOLUTION: A chemist has a solution that is 65​% acid and another that is 45​% acid. How many liters of each should he mix to obtain 300 liters of a solution that is 60​% &

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A chemist has a solution that is 65​% acid and another that is 45​% acid. How many liters of each should he mix to obtain 300 liters of a solution that is 60​% &      Log On


   

Question 1071264: A chemist has a solution that is 65​% acid and another that is 45​% acid. How many liters of each should he mix to obtain 300 liters of a solution that is 60​% ​acid?
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
x=65%
300-x=45%
.65x+(.45)(300-x)=.60(300)
.65x+135-.45x=180
.20x=45
x=225 liters 65% which is 146.25 l pure acid
300-x=75 liters 45%=33.75 l pure acid
Those two add to 180 l pure acid, or 60% of 300 l