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 9% vinegar. the chef wants to make 300 milliliters of a dressing that is 8% vinegar. how much of each brand should she use?

Answer 1

100 ml of 6% vinegar

200 ml of 9% vinegar

Explanation:

`0.06x+0.09y=300(0.08)\\x+y=300\\\\x=300-y\\\\0.06(300-y)+0.09y=300(0.08)\\18-0.06y+0.09y=24\\18+0.03y=24\\0.03y=6\\y=200\\\\x=300-y=300-200=100`

Therefore, you would need 100 millimeters of the 6% vinegar and 200 millimeters of the 9% vinegar.