Question

Asked Mar 8, 2019

708 views

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?

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, 0.07*F *+ 0.12*S *= 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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