At a concert,
14 of the tickets were sold at full price,
15 of the tickets sold at 20% discount, and the remaining 550 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 |
5 u |
4 u |
11 u |
Value |
$70 |
$56 |
$0 |
Total value |
350 u |
224 u |
0 u |
Fraction of the tickets given free
= 1 -
14 -
15= 1 -
520 -
420 =
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 = 550
1 u = 550 ÷ 11 = 50
Total amount collected from the sales of the ticket
= 350 u + 224 u
= 574 u
= 574 x 50
= $28700
Answer(s): $28700