A chemistry teacher needs to mix a 20% salt solution with a 80% salt solution to make 15 qt of a 40% salt solution. how many quarts of each solution should the teacher mix to get the desired result?
The amount of salt in the finished product equals the amount of salt from the ingredients
Finished product salt = 40% x 15 qt = .4 x 15 = 6
20% solution volume x amount of salt = .2x
80% solution volume = 15-x amount of salt = .8 (15-x) added together = 6
.2x + .8(15-x) = 6
-.6x +12 =6
-.6x = -6
x = 10 qt amount of 20% solution
15-x = 5 qt = amount of 80% solution