Question

The drama club sold bags of candy and cookies to raise money for the spring show. Bags of candy cost $8.50, and bags of cookies cost $4.50, and sales equaled $79.00 in total. There were 6 more bags of cookies than candy sold.

Answer 1

let

x = the number of bags of candy

y = the number of bags of cookies

There were 3 more bags of cookies than candy sold:

y = x + 3

Bags of candy cost $7.50, and bags of cookies cost $4.50, and sales equaled $37.50:

7.50x + 4.50y = 37.50

by solving the system of equations:

y = x + 3

7.50x + 4.50y = 37.50

we find:

x = 2 bags of candies

y = 5 bags of cookies