At a concert,
37 of the tickets were sold at full price,
25 of the tickets sold at 40% discount, and the remaining 480 tickets were given away for free. Each ticket was sold at $75. What was the total amount collected from the sale of tickets?
| |
Full price |
40% discount |
Free |
| Number |
15 u |
14 u |
6 u |
| Value |
$75 |
$45 |
$0 |
| Total value |
1125 u |
630 u |
0 u |
Fraction of the tickets given free
= 1 -
37 -
25= 1 -
1535 -
1435 =
635 Price of the ticket after discount in percent
= 100% - 40%
= 60%
Price of the ticket at 40% discount
= 60% x 75
=
60100 x 75
= $45
Number of tickets given for free = 6 u
6 u = 480
1 u = 480 ÷ 6 = 80
Total amount collected from the sales of the ticket
= 1125 u + 630 u
= 1755 u
= 1755 x 80
= $140400
Answer(s): $140400
