At a concert,
310 of the tickets were sold at full price,
18 of the tickets sold at 30% discount, and the remaining 230 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 |
30% discount |
Free |
Number |
12 u |
5 u |
23 u |
Value |
$100 |
$70 |
$0 |
Total value |
1200 u |
350 u |
0 u |
Fraction of the tickets given free
= 1 -
310 -
18= 1 -
1240 -
540 =
2340 Price of the ticket after discount in percent
= 100% - 30%
= 70%
Price of the ticket at 30% discount
= 70% x 100
=
70100 x 100
= $70
Number of tickets given for free = 23 u
23 u = 230
1 u = 230 ÷ 23 = 10
Total amount collected from the sales of the ticket
= 1200 u + 350 u
= 1550 u
= 1550 x 10
= $15500
Answer(s): $15500