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

• 15 mL of 100% vinegar
• 45 mL of Italian dressing

Explanation:

Let v represent the amount of 100% vinegar to be included in the mixture. Then the amount of vinegar in the overall mixture is ...

1.00v + 0.08(60 -v) = 0.31(60)

0.92v = 60(0.23) . . . . . . . collect terms, subtract .08(60)

v = 60(0.23/0.92) = 15 . . . mL of vinegar

60 -v = 45 . . . mL of dressing

15 mL of vinegar and 45 mL of Italian dressing should be used.