At a concert,
27 of the tickets were sold at full price,
12 of the tickets sold at 25% discount, and the remaining 120 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 |
4 u |
7 u |
3 u |
Value |
$56 |
$42 |
$0 |
Total value |
224 u |
294 u |
0 u |
Fraction of the tickets given free
= 1 -
27 -
12= 1 -
414 -
714 =
314 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 = 3 u
3 u = 120
1 u = 120 ÷ 3 = 40
Total amount collected from the sales of the ticket
= 224 u + 294 u
= 518 u
= 518 x 40
= $20720
Answer(s): $20720