At a concert,
310 of the tickets were sold at full price,
14 of the tickets sold at 40% discount, and the remaining 450 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 |
6 u |
5 u |
9 u |
Value |
$15 |
$9 |
$0 |
Total value |
90 u |
45 u |
0 u |
Fraction of the tickets given free
= 1 -
310 -
14= 1 -
620 -
520 =
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 = 450
1 u = 450 ÷ 9 = 50
Total amount collected from the sales of the ticket
= 90 u + 45 u
= 135 u
= 135 x 50
= $6750
Answer(s): $6750