At a concert,
35 of the tickets were sold at full price,
16 of the tickets sold at 40% discount, and the remaining 140 tickets were given away for free. Each ticket was sold at $65. What was the total amount collected from the sale of tickets?
|
Full price |
40% discount |
Free |
Number |
18 u |
5 u |
7 u |
Value |
$65 |
$39 |
$0 |
Total value |
1170 u |
195 u |
0 u |
Fraction of the tickets given free
= 1 -
35 -
16= 1 -
1830 -
530 =
730 Price of the ticket after discount in percent
= 100% - 40%
= 60%
Price of the ticket at 40% discount
= 60% x 65
=
60100 x 65
= $39
Number of tickets given for free = 7 u
7 u = 140
1 u = 140 ÷ 7 = 20
Total amount collected from the sales of the ticket
= 1170 u + 195 u
= 1365 u
= 1365 x 20
= $27300
Answer(s): $27300