At a concert,
215 of the tickets were sold at full price,
13 of the tickets sold at 30% discount, and the remaining 480 tickets were given away for free. Each ticket was sold at $80. What was the total amount collected from the sale of tickets?
|
Full price |
30% discount |
Free |
Number |
2 u |
5 u |
8 u |
Value |
$80 |
$56 |
$0 |
Total value |
160 u |
280 u |
0 u |
Fraction of the tickets given free
= 1 -
215 -
13= 1 -
215 -
515 =
815 Price of the ticket after discount in percent
= 100% - 30%
= 70%
Price of the ticket at 30% discount
= 70% x 80
=
70100 x 80
= $56
Number of tickets given for free = 8 u
8 u = 480
1 u = 480 ÷ 8 = 60
Total amount collected from the sales of the ticket
= 160 u + 280 u
= 440 u
= 440 x 60
= $26400
Answer(s): $26400