Question 1182079

a chef is going to use a mixture of two brands of Italian dressing. the first brand contains 9% vinegar, and the second brand contains 14%vinegar. the chef wants to make 270 milliliters of a dressing that is 11%vinegar. how much of each brand should she use?
<pre>Let amount of 9% to be mixed, be N
Then amount of the 14% concentration to be mixed = 270 - N
We then get: .09N + .14(270 - N) = .11(270)
              .09N + 37.8 - .14N = 29.7
                     .09N - .14N = 29.7 - 37.8
                          - .05N = - 8.1
Amount of 9% to be mixed, or {{{highlight_green(matrix(1,6, N, "=", (- 8.1)/(- .05), "=", 162, mL))}}}
You should now be able to determine the amount of the 14% to mix!!