At a concert,
12 of the tickets were sold at full price,
15 of the tickets sold at 25% discount, and the remaining 180 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 |
5 u |
2 u |
3 u |
Value |
$52 |
$39 |
$0 |
Total value |
260 u |
78 u |
0 u |
Fraction of the tickets given free
= 1 -
12 -
15= 1 -
510 -
210 =
310 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 = 3 u
3 u = 180
1 u = 180 ÷ 3 = 60
Total amount collected from the sales of the ticket
= 260 u + 78 u
= 338 u
= 338 x 60
= $20280
Answer(s): $20280