SOLUTION: A chef is using a mixture of two brands of Italian dressing. The first brand contains 10% vinegar, and the second brand contains 15% vinegar. The chef wants to make 260 milliliters

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Question 300184: A chef is using a mixture of two brands of Italian dressing. The first brand contains 10% vinegar, and the second brand contains 15% 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 nerdybill(7384) About Me  (Show Source):
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A chef is using a mixture of two brands of Italian dressing. The first brand contains 10% vinegar, and the second brand contains 15% vinegar. The chef wants to make 260 milliliters of a dressing that is 13% vinegar. How much of each brand should she use?
.
Let x = milliliters of 10% vinegar
then
260-x = milliliters of 30% vinegar
.
.10x + .30(260-x) = .13(260)
.10x + 78 - .30x = 33.8
78 - .20x = 33.8
-.20x = -44.2
x = 221 milliliters of 10% vinegar
.
30% vinegar:
260-x = 260-221 = 39 milliliters