At a concert,
17 of the tickets were sold at full price,
12 of the tickets sold at 30% discount, and the remaining 450 tickets were given away for free. Each ticket was sold at $40. What was the total amount collected from the sale of tickets?
|
Full price |
30% discount |
Free |
Number |
2 u |
7 u |
5 u |
Value |
$40 |
$28 |
$0 |
Total value |
80 u |
196 u |
0 u |
Fraction of the tickets given free
= 1 -
17 -
12= 1 -
214 -
714 =
514 Price of the ticket after discount in percent
= 100% - 30%
= 70%
Price of the ticket at 30% discount
= 70% x 40
=
70100 x 40
= $28
Number of tickets given for free = 5 u
5 u = 450
1 u = 450 ÷ 5 = 90
Total amount collected from the sales of the ticket
= 80 u + 196 u
= 276 u
= 276 x 90
= $24840
Answer(s): $24840