At a concert,
120 of the tickets were sold at full price,
12 of the tickets sold at 25% discount, and the remaining 720 tickets were given away for free. Each ticket was sold at $52. What was the total amount collected from the sale of tickets?
|
Full price |
25% discount |
Free |
Number |
1 u |
10 u |
9 u |
Value |
$52 |
$39 |
$0 |
Total value |
52 u |
390 u |
0 u |
Fraction of the tickets given free
= 1 -
120 -
12= 1 -
120 -
1020 =
920 Price of the ticket after discount in percent
= 100% - 25%
= 75%
Price of the ticket at 25% discount
= 75% x 52
=
75100 x 52
= $39
Number of tickets given for free = 9 u
9 u = 720
1 u = 720 ÷ 9 = 80
Total amount collected from the sales of the ticket
= 52 u + 390 u
= 442 u
= 442 x 80
= $35360
Answer(s): $35360