At a concert,
13 of the tickets were sold at full price,
37 of the tickets sold at 10% discount, and the remaining 450 tickets were given away for free. Each ticket was sold at $30. What was the total amount collected from the sale of tickets?
|
Full price |
10% discount |
Free |
Number |
7 u |
9 u |
5 u |
Value |
$30 |
$27 |
$0 |
Total value |
210 u |
243 u |
0 u |
Fraction of the tickets given free
= 1 -
13 -
37= 1 -
721 -
921 =
521 Price of the ticket after discount in percent
= 100% - 10%
= 90%
Price of the ticket at 10% discount
= 90% x 30
=
90100 x 30
= $27
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
= 210 u + 243 u
= 453 u
= 453 x 90
= $40770
Answer(s): $40770