At a concert,
415 of the tickets were sold at full price,
310 of the tickets sold at 20% discount, and the remaining 910 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 |
8 u |
9 u |
13 u |
| Value |
$15 |
$12 |
$0 |
| Total value |
120 u |
108 u |
0 u |
Fraction of the tickets given free
= 1 -
415 -
310= 1 -
830 -
930 =
1330 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 = 13 u
13 u = 910
1 u = 910 ÷ 13 = 70
Total amount collected from the sales of the ticket
= 120 u + 108 u
= 228 u
= 228 x 70
= $15960
Answer(s): $15960
