At a concert,
13 of the tickets were sold at full price,
14 of the tickets sold at 40% discount, and the remaining 450 tickets were given away for free. Each ticket was sold at $45. What was the total amount collected from the sale of tickets?
|
Full price |
40% discount |
Free |
Number |
4 u |
3 u |
5 u |
Value |
$45 |
$27 |
$0 |
Total value |
180 u |
81 u |
0 u |
Fraction of the tickets given free
= 1 -
13 -
14= 1 -
412 -
312 =
512 Price of the ticket after discount in percent
= 100% - 40%
= 60%
Price of the ticket at 40% discount
= 60% x 45
=
60100 x 45
= $27
Number of tickets given for free = 5 u
5 u = 450
1 u = 450 ÷ 5 = 90
Total amount collected from the sales of the ticket
= 180 u + 81 u
= 261 u
= 261 x 90
= $23490
Answer(s): $23490