At a concert,
14 of the tickets were sold at full price,
310 of the tickets sold at 40% discount, and the remaining 810 tickets were given away for free. Each ticket was sold at $15. What was the total amount collected from the sale of tickets?
|
Full price |
40% discount |
Free |
Number |
5 u |
6 u |
9 u |
Value |
$15 |
$9 |
$0 |
Total value |
75 u |
54 u |
0 u |
Fraction of the tickets given free
= 1 -
14 -
310= 1 -
520 -
620 =
920 Price of the ticket after discount in percent
= 100% - 40%
= 60%
Price of the ticket at 40% discount
= 60% x 15
=
60100 x 15
= $9
Number of tickets given for free = 9 u
9 u = 810
1 u = 810 ÷ 9 = 90
Total amount collected from the sales of the ticket
= 75 u + 54 u
= 129 u
= 129 x 90
= $11610
Answer(s): $11610