At a concert,
12 of the tickets were sold at full price,
27 of the tickets sold at 40% discount, and the remaining 90 tickets were given away for free. Each ticket was sold at $100. What was the total amount collected from the sale of tickets?
|
Full price |
40% discount |
Free |
Number |
7 u |
4 u |
3 u |
Value |
$100 |
$60 |
$0 |
Total value |
700 u |
240 u |
0 u |
Fraction of the tickets given free
= 1 -
12 -
27= 1 -
714 -
414 =
314 Price of the ticket after discount in percent
= 100% - 40%
= 60%
Price of the ticket at 40% discount
= 60% x 100
=
60100 x 100
= $60
Number of tickets given for free = 3 u
3 u = 90
1 u = 90 ÷ 3 = 30
Total amount collected from the sales of the ticket
= 700 u + 240 u
= 940 u
= 940 x 30
= $28200
Answer(s): $28200