SOLUTION: A chemist has two acid solutions. One solution is 20% pure acid and the other is 60% pure acid. How much of each is needed to produce 80cm^2 of a solution that is 45% pure acid.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A chemist has two acid solutions. One solution is 20% pure acid and the other is 60% pure acid. How much of each is needed to produce 80cm^2 of a solution that is 45% pure acid.       Log On


   



Question 552104: A chemist has two acid solutions. One solution is 20% pure acid and the other is 60% pure acid. How much of each is needed to produce 80cm^2 of a solution that is 45% pure acid.
Please help these word problems are driving me insane

Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
percent ---------------- quantity
Acid type I 60 ---------------- x Cm^3
Acid type II 20 ---------------- 80 - x Cm^3
Mixture 45.00% ---------------- 80

60 x + 20 ( 80 - x ) = 45 * 80

60x+1600-20x=3600
60x-20x =3600-1600
40x =2000
/ 40
x = 50Cm^3 60.00% Acid type I
30 Cm^3 20.00% Acid type II