At a concert,
710 of the tickets were sold at full price,
110 of the tickets sold at 30% discount, and the remaining 200 tickets were given away for free. Each ticket was sold at $50. What was the total amount collected from the sale of tickets?
| |
Full price |
30% discount |
Free |
| Number |
7 u |
1 u |
2 u |
| Value |
$50 |
$35 |
$0 |
| Total value |
350 u |
35 u |
0 u |
Fraction of the tickets given free
= 1 -
710 -
110= 1 -
710 -
110 =
210 Price of the ticket after discount in percent
= 100% - 30%
= 70%
Price of the ticket at 30% discount
= 70% x 50
=
70100 x 50
= $35
Number of tickets given for free = 2 u
2 u = 200
1 u = 200 ÷ 2 = 100
Total amount collected from the sales of the ticket
= 350 u + 35 u
= 385 u
= 385 x 100
= $38500
Answer(s): $38500
