At a concert,
12 of the tickets were sold at full price,
15 of the tickets sold at 30% discount, and the remaining 270 tickets were given away for free. Each ticket was sold at $90. What was the total amount collected from the sale of tickets?
|
Full price |
30% discount |
Free |
Number |
5 u |
2 u |
3 u |
Value |
$90 |
$63 |
$0 |
Total value |
450 u |
126 u |
0 u |
Fraction of the tickets given free
= 1 -
12 -
15= 1 -
510 -
210 =
310 Price of the ticket after discount in percent
= 100% - 30%
= 70%
Price of the ticket at 30% discount
= 70% x 90
=
70100 x 90
= $63
Number of tickets given for free = 3 u
3 u = 270
1 u = 270 ÷ 3 = 90
Total amount collected from the sales of the ticket
= 450 u + 126 u
= 576 u
= 576 x 90
= $51840
Answer(s): $51840