cupcakes and cookies

Question

A high school band held a bake sale. The number of cupcakes sold was four more than twice the number of cookies sold. The band sold a total of 52 cupcakes and cookies. What is the system of equations to find the number of cupcakes and cookies?

Answer 1

Let x = the number of cookies sold

Let 2x + 4 = the number of cupcakes sold

x + 2x + 4 = 52

3x + 4 = 52

3x = 48

x = 16 cookies

2x + 4 = 2(16) + 4 = 32 + 4 = 36 cupcakes