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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 220 of a dressing that is 12% vinegar.
How much of each brand should she use?
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The first brand is 200 g of the 13% vinegar (given).
The second brand is x grams of the 8% vinegar to add and to mix.
The equation is
0.13*200 + 0.08*x = 0.12(200+x).
It establish the balance of the vinegar in the ingredients and in the final mixture.
From this equation
26 + 0.08x = 24 + 0.12x
26 - 24 = 0.12x - 0.08x
2 = 0.04x
x = 2/0.04 = 200/4 = 50.
ANSWER. 200 g of the 13% vinegar (first brand) and 50 g of the 8% vinegar (second brand).
Solved.