At a concert,
23 of the tickets were sold at full price,
15 of the tickets sold at 20% discount, and the remaining 160 tickets were given away for free. Each ticket was sold at $15. What was the total amount collected from the sale of tickets?
|
Full price |
20% discount |
Free |
Number |
10 u |
3 u |
2 u |
Value |
$15 |
$12 |
$0 |
Total value |
150 u |
36 u |
0 u |
Fraction of the tickets given free
= 1 -
23 -
15= 1 -
1015 -
315 =
215 Price of the ticket after discount in percent
= 100% - 20%
= 80%
Price of the ticket at 20% discount
= 80% x 15
=
80100 x 15
= $12
Number of tickets given for free = 2 u
2 u = 160
1 u = 160 ÷ 2 = 80
Total amount collected from the sales of the ticket
= 150 u + 36 u
= 186 u
= 186 x 80
= $14880
Answer(s): $14880