Question

If you have a problem that has multiple variables, you can solve it using a system of equations. Think of a real-world example where you would need to solve using a system of equations. Write two or three sentences describing your example. Include the equations in your description

Answer 1

Suppose you are planning to bake muffins and cupcakes for a bake sale. Muffins require 2 cups of flour and 1 cup of sugar per batch, while cupcakes require 1.5 cups of flour and 2 cups of sugar per batch. If you have 10 cups of flour and 12 cups of sugar available, you can set up a system of equations to determine the number of muffin and cupcake batches you can make.

Let x represent the number of muffin batches and y represent the number of cupcake batches. The system of equations would be:

Equation 1: 2x + 1.5y = 10 (flour constraint)

Equation 2: x + 2y = 12 (sugar constraint)