At a concert,
114 of the tickets were sold at full price,
37 of the tickets sold at 40% discount, and the remaining 490 tickets were given away for free. Each ticket was sold at $70. What was the total amount collected from the sale of tickets?
|
Full price |
40% discount |
Free |
Number |
1 u |
6 u |
7 u |
Value |
$70 |
$42 |
$0 |
Total value |
70 u |
252 u |
0 u |
Fraction of the tickets given free
= 1 -
114 -
37= 1 -
114 -
614 =
714 Price of the ticket after discount in percent
= 100% - 40%
= 60%
Price of the ticket at 40% discount
= 60% x 70
=
60100 x 70
= $42
Number of tickets given for free = 7 u
7 u = 490
1 u = 490 ÷ 7 = 70
Total amount collected from the sales of the ticket
= 70 u + 252 u
= 322 u
= 322 x 70
= $22540
Answer(s): $22540