At a concert,
112 of the tickets were sold at full price,
13 of the tickets sold at 40% discount, and the remaining 210 tickets were given away for free. Each ticket was sold at $35. What was the total amount collected from the sale of tickets?
|
Full price |
40% discount |
Free |
Number |
1 u |
4 u |
7 u |
Value |
$35 |
$21 |
$0 |
Total value |
35 u |
84 u |
0 u |
Fraction of the tickets given free
= 1 -
112 -
13= 1 -
112 -
412 =
712 Price of the ticket after discount in percent
= 100% - 40%
= 60%
Price of the ticket at 40% discount
= 60% x 35
=
60100 x 35
= $21
Number of tickets given for free = 7 u
7 u = 210
1 u = 210 ÷ 7 = 30
Total amount collected from the sales of the ticket
= 35 u + 84 u
= 119 u
= 119 x 30
= $3570
Answer(s): $3570