At a concert,
15 of the tickets were sold at full price,
23 of the tickets sold at 25% discount, and the remaining 140 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 |
10 u |
2 u |
Value |
$48 |
$36 |
$0 |
Total value |
144 u |
360 u |
0 u |
Fraction of the tickets given free
= 1 -
15 -
23= 1 -
315 -
1015 =
215 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 = 2 u
2 u = 140
1 u = 140 ÷ 2 = 70
Total amount collected from the sales of the ticket
= 144 u + 360 u
= 504 u
= 504 x 70
= $35280
Answer(s): $35280