At a concert,
14 of the tickets were sold at full price,
17 of the tickets sold at 25% discount, and the remaining 1700 tickets were given away for free. Each ticket was sold at $56. What was the total amount collected from the sale of tickets?
|
Full price |
25% discount |
Free |
Number |
7 u |
4 u |
17 u |
Value |
$56 |
$42 |
$0 |
Total value |
392 u |
168 u |
0 u |
Fraction of the tickets given free
= 1 -
14 -
17= 1 -
728 -
428 =
1728 Price of the ticket after discount in percent
= 100% - 25%
= 75%
Price of the ticket at 25% discount
= 75% x 56
=
75100 x 56
= $42
Number of tickets given for free = 17 u
17 u = 1700
1 u = 1700 ÷ 17 = 100
Total amount collected from the sales of the ticket
= 392 u + 168 u
= 560 u
= 560 x 100
= $56000
Answer(s): $56000