At a concert,
15 of the tickets were sold at full price,
14 of the tickets sold at 20% discount, and the remaining 770 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 |
20% discount |
Free |
Number |
4 u |
5 u |
11 u |
Value |
$70 |
$56 |
$0 |
Total value |
280 u |
280 u |
0 u |
Fraction of the tickets given free
= 1 -
15 -
14= 1 -
420 -
520 =
1120 Price of the ticket after discount in percent
= 100% - 20%
= 80%
Price of the ticket at 20% discount
= 80% x 70
=
80100 x 70
= $56
Number of tickets given for free = 11 u
11 u = 770
1 u = 770 ÷ 11 = 70
Total amount collected from the sales of the ticket
= 280 u + 280 u
= 560 u
= 560 x 70
= $39200
Answer(s): $39200