Write a system of equations to solve the problem.

Question

A sorority held a bake sale to raise money and sold brownies and chocolate chip cookies. They priced the brownies at $2 and the chocolate chip cookies at $1. They raised $260 and sold 190 items.
How many brownies and how many cookies were sold?

Answer 1

Let's use the following variables to represent the number of items sold:

- Let "b" be the number of brownies sold
- Let "c" be the number of chocolate chip cookies sold

We can set up a system of two equations based on the information given in the problem:

Equation 1: The sorority raised $260 from the sale

2b + c = 260

This equation represents the total amount of money earned by the sorority, which is equal to the sum of the prices of all the items sold. We know that brownies cost $2 and chocolate chip cookies cost $1, so we can express this equation in terms of b and c.

Equation 2: The sorority sold a total of 190 items

b + c = 190

This equation represents the total number of items sold by the sorority, which is the sum of the number of brownies and the number of chocolate chip cookies.

To find the values of b and c, we can solve this system of equations using substitution or elimination.