At a concert,
415 of the tickets were sold at full price,
12 of the tickets sold at 40% discount, and the remaining 140 tickets were given away for free. Each ticket was sold at $100. What was the total amount collected from the sale of tickets?
|
Full price |
40% discount |
Free |
Number |
8 u |
15 u |
7 u |
Value |
$100 |
$60 |
$0 |
Total value |
800 u |
900 u |
0 u |
Fraction of the tickets given free
= 1 -
415 -
12= 1 -
830 -
1530 =
730 Price of the ticket after discount in percent
= 100% - 40%
= 60%
Price of the ticket at 40% discount
= 60% x 100
=
60100 x 100
= $60
Number of tickets given for free = 7 u
7 u = 140
1 u = 140 ÷ 7 = 20
Total amount collected from the sales of the ticket
= 800 u + 900 u
= 1700 u
= 1700 x 20
= $34000
Answer(s): $34000