Question 998476

A chef is using a mixture of two brands of Italian dressing. The first brand contains 5% vinegar and the second brand contains 10% vinegar. The chef wants to make 200mL of a dressing that is 8% vinegar. How much of each brand should the chef use?
<pre>Let amount of 5% vinegar to mix, be F
Then amount of 10% vinegar to mix = 200 - F
We then get: .05F + .1(200 - F) = .08(200)
.05F + 20 - .1F = 16
.05F - .1F = 16 - 20
- .05F = - 4
F, or amount of 5% vinegar to mix = {{{(- 4)/(- .05)}}}, or {{{highlight_green(80)}}} mL
You should be able to find amount of 10% vinegar that needs to be mixed