At a concert,
415 of the tickets were sold at full price,
13 of the tickets sold at 10% discount, and the remaining 480 tickets were given away for free. Each ticket was sold at $100. What was the total amount collected from the sale of tickets?
|
Full price |
10% discount |
Free |
Number |
4 u |
5 u |
6 u |
Value |
$100 |
$90 |
$0 |
Total value |
400 u |
450 u |
0 u |
Fraction of the tickets given free
= 1 -
415 -
13= 1 -
415 -
515 =
615 Price of the ticket after discount in percent
= 100% - 10%
= 90%
Price of the ticket at 10% discount
= 90% x 100
=
90100 x 100
= $90
Number of tickets given for free = 6 u
6 u = 480
1 u = 480 ÷ 6 = 80
Total amount collected from the sales of the ticket
= 400 u + 450 u
= 850 u
= 850 x 80
= $68000
Answer(s): $68000