At a concert,
16 of the tickets were sold at full price,
25 of the tickets sold at 25% discount, and the remaining 1300 tickets were given away for free. Each ticket was sold at $56. What was the total amount collected from the sale of tickets?
|
Full price |
25% discount |
Free |
Number |
5 u |
12 u |
13 u |
Value |
$56 |
$42 |
$0 |
Total value |
280 u |
504 u |
0 u |
Fraction of the tickets given free
= 1 -
16 -
25= 1 -
530 -
1230 =
1330 Price of the ticket after discount in percent
= 100% - 25%
= 75%
Price of the ticket at 25% discount
= 75% x 56
=
75100 x 56
= $42
Number of tickets given for free = 13 u
13 u = 1300
1 u = 1300 ÷ 13 = 100
Total amount collected from the sales of the ticket
= 280 u + 504 u
= 784 u
= 784 x 100
= $78400
Answer(s): $78400