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.

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

step-by-step explanation: