At a concert,
110 of the tickets were sold at full price,
310 of the tickets sold at 20% discount, and the remaining 600 tickets were given away for free. Each ticket was sold at $65. What was the total amount collected from the sale of tickets?
|
Full price |
20% discount |
Free |
Number |
1 u |
3 u |
6 u |
Value |
$65 |
$52 |
$0 |
Total value |
65 u |
156 u |
0 u |
Fraction of the tickets given free
= 1 -
110 -
310= 1 -
110 -
310 =
610 Price of the ticket after discount in percent
= 100% - 20%
= 80%
Price of the ticket at 20% discount
= 80% x 65
=
80100 x 65
= $52
Number of tickets given for free = 6 u
6 u = 600
1 u = 600 ÷ 6 = 100
Total amount collected from the sales of the ticket
= 65 u + 156 u
= 221 u
= 221 x 100
= $22100
Answer(s): $22100