Question

A chemistry teacher needs to mix a 40%

Answer 1

Let f and e represent the amount of 40% and 80% solutions used...

We are told the f+e=20 which means that f=20-e and we can say that:

(.4f+.8e)/20=.7, using f=20-e in this equation we see that:

.4(20-e)+.8e=14

8-.4e+.8e=14

8+.4e=14

.4e=6

e=15, and since f=20-e then

f=5

So 15 quarts of 80% solution is mixed with 5 quarts of 40% solution to produce a 20 quart mixture of 70% solution.