Theodore needs to mix a 20% fungicide solution with a 60% fungicide solution to create 200 millileters of a 32% solution. How many millileters of each solution must Theodore use?

Question

Theodore must mix _____ mL of the 20% solution

AND _____ mL of the 60% solution

Answer 1

.2x + .6(200-x) = .32(200)

.2x +120 - .6x = 64

.4x = - 56

x = 56/.4 = 140 ml of 20%

200-x = 200-140 = 60 ml of 60%

.2 is within .12 of .32

.6 is with .28 of .32

28/12 = 14/6 = 7/3

140/60 7/3