At a concert,
29 of the tickets were sold at full price,
16 of the tickets sold at 20% discount, and the remaining 440 tickets were given away for free. Each ticket was sold at $90. What was the total amount collected from the sale of tickets?
|
Full price |
20% discount |
Free |
Number |
4 u |
3 u |
11 u |
Value |
$90 |
$72 |
$0 |
Total value |
360 u |
216 u |
0 u |
Fraction of the tickets given free
= 1 -
29 -
16= 1 -
418 -
318 =
1118 Price of the ticket after discount in percent
= 100% - 20%
= 80%
Price of the ticket at 20% discount
= 80% x 90
=
80100 x 90
= $72
Number of tickets given for free = 11 u
11 u = 440
1 u = 440 ÷ 11 = 40
Total amount collected from the sales of the ticket
= 360 u + 216 u
= 576 u
= 576 x 40
= $23040
Answer(s): $23040