At a concert,
35 of the tickets were sold at full price,
17 of the tickets sold at 40% discount, and the remaining 450 tickets were given away for free. Each ticket was sold at $25. What was the total amount collected from the sale of tickets?
| |
Full price |
40% discount |
Free |
| Number |
21 u |
5 u |
9 u |
| Value |
$25 |
$15 |
$0 |
| Total value |
525 u |
75 u |
0 u |
Fraction of the tickets given free
= 1 -
35 -
17= 1 -
2135 -
535 =
935 Price of the ticket after discount in percent
= 100% - 40%
= 60%
Price of the ticket at 40% discount
= 60% x 25
=
60100 x 25
= $15
Number of tickets given for free = 9 u
9 u = 450
1 u = 450 ÷ 9 = 50
Total amount collected from the sales of the ticket
= 525 u + 75 u
= 600 u
= 600 x 50
= $30000
Answer(s): $30000
