At a concert,
310 of the tickets were sold at full price,
12 of the tickets sold at 25% discount, and the remaining 20 tickets were given away for free. Each ticket was sold at $76. What was the total amount collected from the sale of tickets?
|
Full price |
25% discount |
Free |
Number |
3 u |
5 u |
2 u |
Value |
$76 |
$57 |
$0 |
Total value |
228 u |
285 u |
0 u |
Fraction of the tickets given free
= 1 -
310 -
12= 1 -
310 -
510 =
210 Price of the ticket after discount in percent
= 100% - 25%
= 75%
Price of the ticket at 25% discount
= 75% x 76
=
75100 x 76
= $57
Number of tickets given for free = 2 u
2 u = 20
1 u = 20 ÷ 2 = 10
Total amount collected from the sales of the ticket
= 228 u + 285 u
= 513 u
= 513 x 10
= $5130
Answer(s): $5130