At a concert,
29 of the tickets were sold at full price,
49 of the tickets sold at 30% discount, and the remaining 180 tickets were given away for free. Each ticket was sold at $100. What was the total amount collected from the sale of tickets?
|
Full price |
30% discount |
Free |
Number |
2 u |
4 u |
3 u |
Value |
$100 |
$70 |
$0 |
Total value |
200 u |
280 u |
0 u |
Fraction of the tickets given free
= 1 -
29 -
49= 1 -
29 -
49 =
39 Price of the ticket after discount in percent
= 100% - 30%
= 70%
Price of the ticket at 30% discount
= 70% x 100
=
70100 x 100
= $70
Number of tickets given for free = 3 u
3 u = 180
1 u = 180 ÷ 3 = 60
Total amount collected from the sales of the ticket
= 200 u + 280 u
= 480 u
= 480 x 60
= $28800
Answer(s): $28800