Question

a chef is going to use a mixture of two brands of italian dressing. the first brand contains 8% vinegar, and contains 12% vinegar. the chef wants to make 200 milliliters of a dressing that is 11% vinegar.

how much of each brand should she use?
first brand: milliliters
second brand: milliliters

Explanation:

Define variables for the mixture

Let \(x\) be the volume of the first brand of Italian dressing in milliliters.
Let \(y\) be the volume of the second brand of Italian dressing in milliliters.

Set up the system of equations

Using the Systems of Linear Equations knowledge point

$$
LATEXBLOCK0
$$

Simplify the mixture equation

Using the Systems of Linear Equations knowledge point

$$
LATEXBLOCK1
$$

Solve the system using substitution

Using the Substitution Method knowledge point

$$
LATEXBLOCK2
$$

Answer:

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 12% vinegar. The chef wants to make 200 milliliters of a dressing that is 11% vinegar.

How much of each brand should she use?

First brand: <blank>50</blank> milliliters

Second brand: <blank>150</blank> milliliters