Question

A chemist mixes a 25 % acid solution with a 45% acid solution to make 600 ml of a 30% acid solution. How much of each type of solution does she use? Please help asap, I'm confused.

Answer 1

25 % acid solution = 450ml

45% acid solution = 150ml

Explanation:

Let

x = 25 % acid solution

y = 45% acid solution

x + y = 600

.25x + .45y = .30(600)

x + y = 600 (1)

.25x + .45y = 180 (2)

From (1)

x = 600 - y

Substitute x = 600 - y into (2)

.25x + .45y = 180

.25(600 - y) + .45y = 180

150 - .25y + .45y = 180

150 + .20y = 180

.20y = 180 - 150

.20y = 30

Divide both sides by .20

y = 30/0.20

= 150

y = 150ml

Substitute y = 150 into

x + y = 600

x + 150 = 600

x = 600 - 150

= 450

x = 450ml

25 % acid solution = 450ml

45% acid solution = 150ml