Question

Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $2,632 was collected on the sale of 1,128 tickets. How many of each type of ticket were sold?​

Answer 1

A = number of adult tickets

S = number of student tickets

1033 = total tickets sold

A + S = 1033

5A = money collected for adult tickets

S = money collected for student tickets

2265 = total money collected

5A + S = 2265

two equations and two unknowns:

5A + S = 2265

A + S = 1033

subtract 2nd equation from 1st and solve for A:

4A = 1232

A = 308

Plug in value for A in 1st equation and solve for S:

A + S = 1033

308 + S = 1033

S = 725