At a concert,
15 of the tickets were sold at full price,
47 of the tickets sold at 25% discount, and the remaining 240 tickets were given away for free. Each ticket was sold at $20. What was the total amount collected from the sale of tickets?
|
Full price |
25% discount |
Free |
Number |
7 u |
20 u |
8 u |
Value |
$20 |
$15 |
$0 |
Total value |
140 u |
300 u |
0 u |
Fraction of the tickets given free
= 1 -
15 -
47= 1 -
735 -
2035 =
835 Price of the ticket after discount in percent
= 100% - 25%
= 75%
Price of the ticket at 25% discount
= 75% x 20
=
75100 x 20
= $15
Number of tickets given for free = 8 u
8 u = 240
1 u = 240 ÷ 8 = 30
Total amount collected from the sales of the ticket
= 140 u + 300 u
= 440 u
= 440 x 30
= $13200
Answer(s): $13200