Question

Question 1 (1 point)

A school organized a fundraiser to help a local charity. They sold small and large cookies. The small cookies were $2 each
and the large cookies were $3 each. The group sold 130 cookies and raised $310. How many large cookies did they sell?

Answer 1

For this case we can propose a system of equations:

x: Let the variable that represents the number of small cookies

y: Let the variable that represents the number of large cookies

According to the statement we have:

`x + y = 130\\2x + 3y = 310`

We multiply the first equation by -2:

`-2x-2y = -260`

We have the following equivalent system:

`-2x-2y = -260\\2x + 3y = 310`

We add the equations:

`-2x + 2x-2y + 3y = -260 + 310\\y = 50`

We look for the value of the variable "x":

`x = 130-y\\x = 130-50\\x = 80`

Answer:

They sold 80 small cookies and 50 large cookies