Question

1.12.9

A jazz concert brought in $164,500 on the sale of 8,100 tickets. If the tickets sold for $15 and $25 each, how many of each type of ticket were sold?
The number of $15 tickets is

Answer 1

• 4300 $25 tickets
• 3800 $15 tickets

Explanation:

Let x represent the number of $25 tickets sold. Then the total revenue is ...

25x + 15(8100-x) = 164500

10x + 121500 = 164500 . . . . . . collect terms

10x = 43000 . . . . . . . . . . . . . . . subtract 121500

x = 4300 . . . . . . . divide by 10

Then 8100 -x = 3800.

The number of $25 tickets is 4300.

The number of $15 tickets is 3800.