# A chef is going to use a mixture of two brands of Italian dressing. The first brand contains 7%vinegar, and the second brand contains 12%vinegar. The chef wants to make 260milliliters of a dressing that is 8%vinegar. How much of each brand should she use?

Question
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A chef is going to use a mixture of two brands of Italian dressing. The first brand contains
7
%

vinegar, and the second brand contains
12
%

vinegar. The chef wants to make
260

milliliters of a dressing that is
8
%

vinegar. How much of each brand should she use?

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Step 1

Set up an equation that matches the sentences of the problem:

It is given that, the aim of a chef is to use a mixture of two brands (First and second) of Italian dressing.

The first brand contains 7% of vinegar.

Denote the amount of the first brand as F.

The second brand contains 12% of vinegar.

Denote the amount of the second brand as S.

The chef wants to make 260 milliliters of a dressing using the first and second brands.

That is, F + S = 260.

Furthermore, it is also stated that, the total mixture should contain 8% vinegar.

That is, 0.07F + 0.12S = 0.08*260.

Step 2

Obtain the amount of first brand and second brand that have to be used:

The amount of first brand and second brand that have to be used is obtained from the calcul...

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