At a concert,
710 of the tickets were sold at full price,
18 of the tickets sold at 40% discount, and the remaining 70 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 |
28 u |
5 u |
7 u |
| Value |
$70 |
$42 |
$0 |
| Total value |
1960 u |
210 u |
0 u |
Fraction of the tickets given free
= 1 -
710 -
18= 1 -
2840 -
540 =
740 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 = 70
1 u = 70 ÷ 7 = 10
Total amount collected from the sales of the ticket
= 1960 u + 210 u
= 2170 u
= 2170 x 10
= $21700
Answer(s): $21700
