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 230 milliliters of a dressing that is 7% vinegar. How much of each brand should she use

184 milliliters of the first brand and 46 milliliters of the second brand

Step-by-step explanation:

Step 1:

Let x be the number of milliliters of the first brand in the final mixture

Since the chef requires 230 milliliters, 230 - x would be the milliliters of dressing of the second brand

Step 2:

The first brand contains 6% vinegar, and the second brand contains 11% vinegar

Hence we have,

x * 6/100 + (230-x) * 11/100 = 230 * 7/100

0.06 x + 25.3 - 0.11 x = 16.1

0.05x = 9.2 = > x = 184

Hence the 184 milliliters of the first brand is to be used

Step 3:

Quantity of the second brand to be used is 230 - x = 230 - 184 = 46 milliliters.