At a concert,
12 of the tickets were sold at full price,
17 of the tickets sold at 25% discount, and the remaining 50 tickets were given away for free. Each ticket was sold at $80. What was the total amount collected from the sale of tickets?
|
Full price |
25% discount |
Free |
Number |
7 u |
2 u |
5 u |
Value |
$80 |
$60 |
$0 |
Total value |
560 u |
120 u |
0 u |
Fraction of the tickets given free
= 1 -
12 -
17= 1 -
714 -
214 =
514 Price of the ticket after discount in percent
= 100% - 25%
= 75%
Price of the ticket at 25% discount
= 75% x 80
=
75100 x 80
= $60
Number of tickets given for free = 5 u
5 u = 50
1 u = 50 ÷ 5 = 10
Total amount collected from the sales of the ticket
= 560 u + 120 u
= 680 u
= 680 x 10
= $6800
Answer(s): $6800