SOLUTION: a chef is using 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 260 milliliters

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Question 957921: a chef is using 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 260 milliliters of a dressing that is 13% vinegar. how much of each brand should she use
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
N=amount of 9%; F=amount of 14%
N+F=260ml
N=260ml-F
0.09N+0.14F=0.13(260ml) Substitute for N.
0.09(260ml-F)+0.14F=33.8ml
23.4ml-0.09F+0.14F=33.8ml Subtract 23.4ml from each side.
0.05F=10.4ml Divide each side by 0.05
F=208ml ANSWER 1 She should use 208 ml of the 14% brand.
N=260ml-F=260ml-208ml=52ml ANSWER 2: She should use 52ml of the 9% brand.
CHECK:
0.09N+0.14F=0.13(260ml)
0.09(52ml)+0.14(208ml)=0.13(260ml)
4.68ml+29.12ml=33.8
33.8ml=33.8ml