At a concert,
15 of the tickets were sold at full price,
12 of the tickets sold at 25% discount, and the remaining 270 tickets were given away for free. Each ticket was sold at $24. What was the total amount collected from the sale of tickets?
|
Full price |
25% discount |
Free |
Number |
2 u |
5 u |
3 u |
Value |
$24 |
$18 |
$0 |
Total value |
48 u |
90 u |
0 u |
Fraction of the tickets given free
= 1 -
15 -
12= 1 -
210 -
510 =
310 Price of the ticket after discount in percent
= 100% - 25%
= 75%
Price of the ticket at 25% discount
= 75% x 24
=
75100 x 24
= $18
Number of tickets given for free = 3 u
3 u = 270
1 u = 270 ÷ 3 = 90
Total amount collected from the sales of the ticket
= 48 u + 90 u
= 138 u
= 138 x 90
= $12420
Answer(s): $12420