At a concert,
25 of the tickets were sold at full price,
14 of the tickets sold at 25% discount, and the remaining 280 tickets were given away for free. Each ticket was sold at $16. What was the total amount collected from the sale of tickets?
|
Full price |
25% discount |
Free |
Number |
8 u |
5 u |
7 u |
Value |
$16 |
$12 |
$0 |
Total value |
128 u |
60 u |
0 u |
Fraction of the tickets given free
= 1 -
25 -
14= 1 -
820 -
520 =
720 Price of the ticket after discount in percent
= 100% - 25%
= 75%
Price of the ticket at 25% discount
= 75% x 16
=
75100 x 16
= $12
Number of tickets given for free = 7 u
7 u = 280
1 u = 280 ÷ 7 = 40
Total amount collected from the sales of the ticket
= 128 u + 60 u
= 188 u
= 188 x 40
= $7520
Answer(s): $7520