How many ounces each of 10% hydrochloric acid and 30% hydrochloric acid should be mixed to obtain 20 oz of solution that is 22.5% hydrochloric acid?

Question

How many ounces each of 10% hydrochloric acid and 30% hydrochloric acid should be mixed to obtain 20 oz of solution that is 22.5% hydrochloric acid?

Answer 1

10% and 30% to get 20 oz of 22.5%

30x + 10(20-x) = 22.5(20) = 450

30x -10x +200 = 450

20x = 250

x = 250/20 = 12.5 ounces of 30%

20-x = 7.5 ounces of 10%

10 is with 12.5 of 22.5

30 is with 7.5 of 22.5

you need 12.5 of 30% and 7.5 of 10%