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 14% vinegar. The chef wants to make 240 milli

Question 1104195: 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 14% vinegar. The chef wants to make 240 milliliters of a dressing that is 12% vinegar. How much of each brand should she use.
Found 2 solutions by ikleyn, richwmiller:
Answer by ikleyn(52756)   (Show Source): You can put this solution on YOUR website!
.

0.08*x + 0.14*(240-x) = 0.12*240, 0.08x + 0.14*240 - 0.14x = 0.12*240, -0.06x = 0.12*240 - 0.14*240 ====> -0.06x = -0.02*240 ====> x = = 80. Answer. 80 mL of the 8% vinegar and (240-80) = 160 mL of the 14% vinegar.

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    - More Mixture problems
    - Solving typical word problems on mixtures for solutions
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    - Word problems on mixtures for alloys
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    - Advanced mixture problems
    - Advanced mixture problem for three alloys
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Save the link to this online textbook together with its description

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Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!
A cook might do that but not a chef. A chef will make his/her own from scratch. or have a sous chef do it.
We want to know how many mL. at 8% to mix with 14%.
We need a total of 240 mL. at 12%
Using the method of alligation.

14 4 4/6*240=160 mL of 14% solution 12 160+80= 240 mL of 12% solution 8 2 2/6*240=80 mL of 8% solution 6

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