How many liters of peroxide should be added to 12 liters of an 8% peroxide solution so that the remaining solution contains 16% peroxide?

Question

How many liters of peroxide should be added to 12 liters of an 8% peroxide solution so that the remaining solution contains 16% peroxide?

Answer 1

12(.08) + x(1.00) = (12+x)(.16) =1.92 + .16x

.96 + x= 1.92 + .16x

.84x = 1.92-.96 = 0.96

x = .96/.84 = 1.14 Liters of peroxide

added to 12 Liters of 8% yields 13.14 Liters of 16%

12(.08) + 1.14(1.00) = 13.14(.16)

.96 + 1.14 = 2.10

100 is within 84 of 16

8 is within 8 of 16

84/8 = 21/2 = 10.5 = 12/1.14