SOLUTION: A chef is using a mixture of two brands of Italian dressing. The first brand contains 5% vinegar and the second brand contains 10% vinegar. The chef wants to make 200mL of a dressi

Question 998476: A chef is using a mixture of two brands of Italian dressing. The first brand contains 5% vinegar and the second brand contains 10% vinegar. The chef wants to make 200mL of a dressing that is 8% vinegar. How much of each brand should the chef use?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) (Show Source): You can put this solution on YOUR website!
Some variables,

EQUATIONS FROM WHICH TO SOLVE FOR u AND v

Converting the system into a single equation with only one variable can be done near the beginning, as in this example video:
two-part mixture using just one variable
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

A chef is using a mixture of two brands of Italian dressing. The first brand contains 5% vinegar and the second brand contains 10% vinegar. The chef wants to make 200mL of a dressing that is 8% vinegar. How much of each brand should the chef use?

Let amount of 5% vinegar to mix, be F
Then amount of 10% vinegar to mix = 200 - F
We then get: .05F + .1(200 - F) = .08(200)
.05F + 20 - .1F = 16
.05F - .1F = 16 - 20
- .05F = - 4
F, or amount of 5% vinegar to mix = , or mL
You should be able to find amount of 10% vinegar that needs to be mixed
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