At a concert,
13 of the tickets were sold at full price,
29 of the tickets sold at 25% discount, and the remaining 200 tickets were given away for free. Each ticket was sold at $48. What was the total amount collected from the sale of tickets?
|
Full price |
25% discount |
Free |
Number |
3 u |
2 u |
4 u |
Value |
$48 |
$36 |
$0 |
Total value |
144 u |
72 u |
0 u |
Fraction of the tickets given free
= 1 -
13 -
29= 1 -
39 -
29 =
49 Price of the ticket after discount in percent
= 100% - 25%
= 75%
Price of the ticket at 25% discount
= 75% x 48
=
75100 x 48
= $36
Number of tickets given for free = 4 u
4 u = 200
1 u = 200 ÷ 4 = 50
Total amount collected from the sales of the ticket
= 144 u + 72 u
= 216 u
= 216 x 50
= $10800
Answer(s): $10800