At a concert,
720 of the tickets were sold at full price,
310 of the tickets sold at 30% discount, and the remaining 350 tickets were given away for free. Each ticket was sold at $40. What was the total amount collected from the sale of tickets?
|
Full price |
30% discount |
Free |
Number |
7 u |
6 u |
7 u |
Value |
$40 |
$28 |
$0 |
Total value |
280 u |
168 u |
0 u |
Fraction of the tickets given free
= 1 -
720 -
310= 1 -
720 -
620 =
720 Price of the ticket after discount in percent
= 100% - 30%
= 70%
Price of the ticket at 30% discount
= 70% x 40
=
70100 x 40
= $28
Number of tickets given for free = 7 u
7 u = 350
1 u = 350 ÷ 7 = 50
Total amount collected from the sales of the ticket
= 280 u + 168 u
= 448 u
= 448 x 50
= $22400
Answer(s): $22400