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 11% vinegar. The chef
wants to make 200 milliliters of a dressing that is 9% vinegar. How much of each brand should she use?

Answer 1

Answer:

The chef will use 120 milliliters of 11% vinegar, and 80 milliliters of 6% vinegar.

Step-by-step 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 11% vinegar, and the chef wants to make 200 milliliters of a dressing that is 9% vinegar, to determine how much of each brand should she use the following calculation must be performed:

100 x 0.11 + 0 x 0.06 = 11

90 x 0.11 + 10 x 0.06 = 10.5

80 x 0.11 + 20 x 0.06 = 10

70 x 0.11 + 30 x 0.06 = 9.5

60 x 0.11 + 40 x 0.06 = 9

200 x 0.6 = 120

200 x 0.4 = 80

Thus, the chef will use 120 milliliters of 11% vinegar, and 80 milliliters of 6% vinegar.