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 290 millimeters of a dressing that is 8% vinegar. How much of each brand should she use?

Answer 1

174 milliliters of the first brand and 116 milliliters of the second brand

Step-by-step explanation:

equation:

0.06x+0.11(290-x)=0.08(290)

translation:

6% concentration of x milliliters plus 11% concentration of 290-x milliliters equals 8% concentration of 290 milliliters

solve for x (which is the volume of the first brand):

0.06x+0.11(290-x)=0.08(290)

0.06x+31.9-0.11x=23.2

-0.05x+31.9=23.2

-0.05x=-8.7

x=174

174 milliliters of the first brand and 290-174=116 milliliters of the second brand