At a concert,
118 of the tickets were sold at full price,
23 of the tickets sold at 20% discount, and the remaining 150 tickets were given away for free. Each ticket was sold at $75. What was the total amount collected from the sale of tickets?
|
Full price |
20% discount |
Free |
Number |
1 u |
12 u |
5 u |
Value |
$75 |
$60 |
$0 |
Total value |
75 u |
720 u |
0 u |
Fraction of the tickets given free
= 1 -
118 -
23= 1 -
118 -
1218 =
518 Price of the ticket after discount in percent
= 100% - 20%
= 80%
Price of the ticket at 20% discount
= 80% x 75
=
80100 x 75
= $60
Number of tickets given for free = 5 u
5 u = 150
1 u = 150 ÷ 5 = 30
Total amount collected from the sales of the ticket
= 75 u + 720 u
= 795 u
= 795 x 30
= $23850
Answer(s): $23850