Question

A chef plans to mix 100% vinegar with Italian Dressing. The Italian dressing contains 8% vinegar. The chef wants to make 60 milliliters of a mixture that contains 31% vinegar. How much vinegar and how much Italian dressing should she use?

Answer 1

Let v = ml of 100% vinegar

Then 150-v = ml of dressing

v + .05(150-v) = .24(150)

v + 7.5 - .05v = 36

.95v = 28.5

v = 28.5/.95

v = 30 ml of vinegar

dressing = 150-30 = 120 m