Question

A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 6 % vinegar, and the second brand contains 14 % vinegar. The chef wants to make 200 milliliters of a dressing that is 8 % vinegar. How much of each brand should she use?

Answer 1

The chef should use 50 milliliters of 14% vinegar and 150 milliliters of 6% vinegar to obtain an 8% vinegar dressing.

Explanation:

Since a chef is going to use a mixture of two brands of Italian dressing, and the first brand contains 6% vinegar, and the second brand contains 14% vinegar, and the chef wants to make 200 milliliters of a dressing that is 8% vinegar, to determine how much of each brand should she use the following calculation must be performed:

100 x 0.14 + 0 x 0.06 = 14

90 x 0.14 + 10 x 0.06 = 13.2

50 x 0.14 + 50 x 0.06 = 10

30 x 0.14 + 70 x 0.06 = 8.4

25 x 0.14 + 75 x 0.06 = 8

200 x 0.25 = 50

Therefore, the chef should use 50 milliliters of 14% vinegar and 150 milliliters of 6% vinegar to obtain an 8% vinegar dressing.