At a concert,
29 of the tickets were sold at full price,
12 of the tickets sold at 10% discount, and the remaining 450 tickets were given away for free. Each ticket was sold at $50. What was the total amount collected from the sale of tickets?
|
Full price |
10% discount |
Free |
Number |
4 u |
9 u |
5 u |
Value |
$50 |
$45 |
$0 |
Total value |
200 u |
405 u |
0 u |
Fraction of the tickets given free
= 1 -
29 -
12= 1 -
418 -
918 =
518 Price of the ticket after discount in percent
= 100% - 10%
= 90%
Price of the ticket at 10% discount
= 90% x 50
=
90100 x 50
= $45
Number of tickets given for free = 5 u
5 u = 450
1 u = 450 ÷ 5 = 90
Total amount collected from the sales of the ticket
= 200 u + 405 u
= 605 u
= 605 x 90
= $54450
Answer(s): $54450