At a concert,
12 of the tickets were sold at full price,
15 of the tickets sold at 40% discount, and the remaining 210 tickets were given away for free. Each ticket was sold at $45. What was the total amount collected from the sale of tickets?
|
Full price |
40% discount |
Free |
Number |
5 u |
2 u |
3 u |
Value |
$45 |
$27 |
$0 |
Total value |
225 u |
54 u |
0 u |
Fraction of the tickets given free
= 1 -
12 -
15= 1 -
510 -
210 =
310 Price of the ticket after discount in percent
= 100% - 40%
= 60%
Price of the ticket at 40% discount
= 60% x 45
=
60100 x 45
= $27
Number of tickets given for free = 3 u
3 u = 210
1 u = 210 ÷ 3 = 70
Total amount collected from the sales of the ticket
= 225 u + 54 u
= 279 u
= 279 x 70
= $19530
Answer(s): $19530