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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?

Vinegar mil

Italian dressing mil

Answer 1

x is the amount of the italian dressing

y is the amount of the vinegar

Then X+y = 60

so y = 60-x

the vinegar concentration is 0.08x + 1y = 0.31*60 = 18.6

0.08x + y = 18.6

0.08x + (60-x) = 18.6

0.08x + 60 - x = 18.6

-0.92x + 60 = 18.6

-0.92x = 18.6-60

-0.92x = -41.4

92x = -4140

x = 45

45 mL of the italian dressing

15 Ml of vinegar