At a concert,
25 of the tickets were sold at full price,
38 of the tickets sold at 25% discount, and the remaining 900 tickets were given away for free. Each ticket was sold at $72. What was the total amount collected from the sale of tickets?
|
Full price |
25% discount |
Free |
Number |
16 u |
15 u |
9 u |
Value |
$72 |
$54 |
$0 |
Total value |
1152 u |
810 u |
0 u |
Fraction of the tickets given free
= 1 -
25 -
38= 1 -
1640 -
1540 =
940 Price of the ticket after discount in percent
= 100% - 25%
= 75%
Price of the ticket at 25% discount
= 75% x 72
=
75100 x 72
= $54
Number of tickets given for free = 9 u
9 u = 900
1 u = 900 ÷ 9 = 100
Total amount collected from the sales of the ticket
= 1152 u + 810 u
= 1962 u
= 1962 x 100
= $196200
Answer(s): $196200