Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $2,408 was collected on the sale of 1,144 tickets. How many of each type of ticket were sold?

Question

Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $2,408 was collected on the sale of 1,144 tickets. How many of each type of ticket were sold? 

Answer 1

5A +S = 2408

A + S = 1144

5A +5S = 5(1144) = 5720

subtract first equation from last equation

4S =5720-2408 = 3312

S = 3312/4 = 828 student tickets

A =1144-828 = 316 adult tickets

5(316) + (1)(828)

= 1580 + 828

= 2408