At a concert,
715 of the tickets were sold at full price,
110 of the tickets sold at 20% discount, and the remaining 390 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 |
20% discount |
Free |
Number |
14 u |
3 u |
13 u |
Value |
$25 |
$20 |
$0 |
Total value |
350 u |
60 u |
0 u |
Fraction of the tickets given free
= 1 -
715 -
110= 1 -
1430 -
330 =
1330 Price of the ticket after discount in percent
= 100% - 20%
= 80%
Price of the ticket at 20% discount
= 80% x 25
=
80100 x 25
= $20
Number of tickets given for free = 13 u
13 u = 390
1 u = 390 ÷ 13 = 30
Total amount collected from the sales of the ticket
= 350 u + 60 u
= 410 u
= 410 x 30
= $12300
Answer(s): $12300