At a concert,
16 of the tickets were sold at full price,
29 of the tickets sold at 30% discount, and the remaining 330 tickets were given away for free. Each ticket was sold at $40. What was the total amount collected from the sale of tickets?
|
Full price |
30% discount |
Free |
Number |
3 u |
4 u |
11 u |
Value |
$40 |
$28 |
$0 |
Total value |
120 u |
112 u |
0 u |
Fraction of the tickets given free
= 1 -
16 -
29= 1 -
318 -
418 =
1118 Price of the ticket after discount in percent
= 100% - 30%
= 70%
Price of the ticket at 30% discount
= 70% x 40
=
70100 x 40
= $28
Number of tickets given for free = 11 u
11 u = 330
1 u = 330 ÷ 11 = 30
Total amount collected from the sales of the ticket
= 120 u + 112 u
= 232 u
= 232 x 30
= $6960
Answer(s): $6960