At a concert,
27 of the tickets were sold at full price,
12 of the tickets sold at 40% discount, and the remaining 150 tickets were given away for free. Each ticket was sold at $65. What was the total amount collected from the sale of tickets?
|
Full price |
40% discount |
Free |
Number |
4 u |
7 u |
3 u |
Value |
$65 |
$39 |
$0 |
Total value |
260 u |
273 u |
0 u |
Fraction of the tickets given free
= 1 -
27 -
12= 1 -
414 -
714 =
314 Price of the ticket after discount in percent
= 100% - 40%
= 60%
Price of the ticket at 40% discount
= 60% x 65
=
60100 x 65
= $39
Number of tickets given for free = 3 u
3 u = 150
1 u = 150 ÷ 3 = 50
Total amount collected from the sales of the ticket
= 260 u + 273 u
= 533 u
= 533 x 50
= $26650
Answer(s): $26650