At a concert,
16 of the tickets were sold at full price,
310 of the tickets sold at 30% discount, and the remaining 160 tickets were given away for free. Each ticket was sold at $90. What was the total amount collected from the sale of tickets?
|
Full price |
30% discount |
Free |
Number |
5 u |
9 u |
16 u |
Value |
$90 |
$63 |
$0 |
Total value |
450 u |
567 u |
0 u |
Fraction of the tickets given free
= 1 -
16 -
310= 1 -
530 -
930 =
1630 Price of the ticket after discount in percent
= 100% - 30%
= 70%
Price of the ticket at 30% discount
= 70% x 90
=
70100 x 90
= $63
Number of tickets given for free = 16 u
16 u = 160
1 u = 160 ÷ 16 = 10
Total amount collected from the sales of the ticket
= 450 u + 567 u
= 1017 u
= 1017 x 10
= $10170
Answer(s): $10170