The drama centre had 2000 seats. There were 40% fewer $40-seats than $20-seats. 50% of the $20-seats and some $40-seats were sold. A total of $30500 was collected. How many seats were unsold?
|
$40 |
$20 |
Total |
Number |
3 u |
5 u |
8 u |
100% - 40% = 60%
60100 =
35 Total number of seats
= 3 u + 5 u
= 8 u
8 u = 2000
1 u = 2000 ÷ 8 = 250
Total number of $20-seat tickets
= 5 u
= 5 x 250
= 1250
Number of $20-seat tickets sold
= 50% x 1250
=
50100 x 1250
= 625
Amount collected from $20-seat tickets sold
= 625 x 20
= $12500
Amount collected from $40-seat tickets sold
= 30500 - 12500
= $18000
Number of $40-seat tickets sold
= 18000 ÷ 40
= 450
Number of tickets sold
= 625 + 450
= 1075
Number of tickets left unsold
= 2000 - 1075
= 925
Answer(s): 925