SOLUTION: A chef is using a mixture of two brands of Italian dressing. The first brand contains 8% vinegar, and the second brand contains 13% vinegar. The chef wants to make 310

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Question 950336: A chef is using a mixture of two brands of Italian dressing. The first brand contains
8%
vinegar, and the second brand contains
13%
vinegar. The chef wants to make
310
milliliters of a dressing that is
9%
vinegar. How much of each brand should she use?

Answer by addingup(3677) About Me  (Show Source):
You can put this solution on YOUR website!
Let's call one brand a and the other b.
a + b = 310. Therefore, a = 310 - b. And,
.08a + .13b = .09(310) Let's substitute in this equation with what we learned on the first equation (we learned that a= 310-b):
.08(310-b) + .13b = .09(310) Let's simplify, multiply:
24.8 - .08b + .13b = 27.9 Subtract 24.8, both sides:
- .08b + .13b = 3.1 Subtract on the left:
.05b = 3.1 Divide both sides by .05:
b = 62 OK, we need 62ml of .13 and 300 - 62 = 238ml of the .08 solution.