SOLUTION: A chef is going to use 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 230 milli

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A chef is going to use 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 230 milli      Log On


   

Question 1193647: A chef is going to use 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 230 milliliters of a dressing that is 12% vinegar. How much of each brand should she use?
Found 2 solutions by Boreal, josgarithmetic:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
x at 0.08
230-x of 0.13
want 230 of 0.12 which is 27.6 ml of pure
so 0.08x+0.13(230-x)=27.6
0.08x+29.9-0.13x=27.6
-0.05x=-2.3
multiply by -20 both sides
x=46 ml of 0.08 (3.68)
230-x=184 ml of 0.13 (23.92)

Answer by josgarithmetic(39613) About Me  (Show Source):
You can put this solution on YOUR website!
first brand, 8% vinegar
second brand, 13% vinegar
Mixture to be 230 mL of 12% vinegar


v, amount of the 13%
230-v, amount of the 8%

13v%2B8%28230-v%29=12%2A230--------solve this for v.


13v%2B8%2A230-8v=12%2A230
13v-8v=12%2A230-8%2A230
%2813-8%29v=230%2812-8%29
highlight_green%28v=230%28%2812-8%29%2F%2813-8%29%29%29
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