Question

Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,159 was collected on the sale of 1,339 tickets. How many of each type of ticket were sold?

Answer 1

• 455 adult tickets
• 884 student tickets

Explanation:

Let "a" represent the number of adult tickets sold. Then 1339-a is the number of student tickets sold. The revenue collected was ...

5a + 1(1339-a) = 3159

4a = 1820 . . . . . . subtract 1339, collect terms

a = 455 . . . . . . . . divide by 4; adult tickets sold

(1339-a) = 884 . . . . student tickets sold

455 adult tickets and 884 student tickets were sold.