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

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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) About Me  (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 = %28-0.02%2A240%29%2F%28-0.06%29 = 80.


Answer.  80 mL of the 8% vinegar and (240-80) = 160 mL of the 14% vinegar.

There is entire bunch of introductory lessons covering various types of mixture problems
    - Mixture problems
    - More Mixture problems
    - Solving typical word problems on mixtures for solutions
    - Word problems on mixtures for antifreeze solutions
    - Word problems on mixtures for alloys
    - Typical word problems on mixtures from the archive
    - Advanced mixture problems
    - Advanced mixture problem for three alloys
in this site.

You will find there ALL TYPICAL mixture problems with different methods of solutions,
explained at different levels of detalization,  from very detailed to very short.

Read them and become an expert in solution mixture word problems.

Also,  you have this free of charge online textbook in ALGEBRA-I in this site
    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this textbook in the section "Word problems" under the topic "Mixture problems".


Save the link to this online textbook together with its description

Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson

to your archive and use it when it is needed.



Answer by richwmiller(17219) About Me  (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