At a concert,
15 of the tickets were sold at full price,
13 of the tickets sold at 20% discount, and the remaining 490 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 |
3 u |
5 u |
7 u |
Value |
$25 |
$20 |
$0 |
Total value |
75 u |
100 u |
0 u |
Fraction of the tickets given free
= 1 -
15 -
13= 1 -
315 -
515 =
715 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 = 7 u
7 u = 490
1 u = 490 ÷ 7 = 70
Total amount collected from the sales of the ticket
= 75 u + 100 u
= 175 u
= 175 x 70
= $12250
Answer(s): $12250