At a concert,
13 of the tickets were sold at full price,
49 of the tickets sold at 40% discount, and the remaining 60 tickets were given away for free. Each ticket was sold at $60. What was the total amount collected from the sale of tickets?
|
Full price |
40% discount |
Free |
Number |
3 u |
4 u |
2 u |
Value |
$60 |
$36 |
$0 |
Total value |
180 u |
144 u |
0 u |
Fraction of the tickets given free
= 1 -
13 -
49= 1 -
39 -
49 =
29 Price of the ticket after discount in percent
= 100% - 40%
= 60%
Price of the ticket at 40% discount
= 60% x 60
=
60100 x 60
= $36
Number of tickets given for free = 2 u
2 u = 60
1 u = 60 ÷ 2 = 30
Total amount collected from the sales of the ticket
= 180 u + 144 u
= 324 u
= 324 x 30
= $9720
Answer(s): $9720