At a concert,
514 of the tickets were sold at full price,
17 of the tickets sold at 30% discount, and the remaining 140 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 |
30% discount |
Free |
Number |
5 u |
2 u |
7 u |
Value |
$70 |
$49 |
$0 |
Total value |
350 u |
98 u |
0 u |
Fraction of the tickets given free
= 1 -
514 -
17= 1 -
514 -
214 =
714 Price of the ticket after discount in percent
= 100% - 30%
= 70%
Price of the ticket at 30% discount
= 70% x 70
=
70100 x 70
= $49
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
= 350 u + 98 u
= 448 u
= 448 x 20
= $8960
Answer(s): $8960