At a concert,
115 of the tickets were sold at full price,
15 of the tickets sold at 20% discount, and the remaining 550 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 |
20% discount |
Free |
| Number |
1 u |
3 u |
11 u |
| Value |
$60 |
$48 |
$0 |
| Total value |
60 u |
144 u |
0 u |
Fraction of the tickets given free
= 1 -
115 -
15= 1 -
115 -
315 =
1115 Price of the ticket after discount in percent
= 100% - 20%
= 80%
Price of the ticket at 20% discount
= 80% x 60
=
80100 x 60
= $48
Number of tickets given for free = 11 u
11 u = 550
1 u = 550 ÷ 11 = 50
Total amount collected from the sales of the ticket
= 60 u + 144 u
= 204 u
= 204 x 50
= $10200
Answer(s): $10200
