The drama centre had 1048 seats. There were 40% fewer $45-seats than $20-seats. 60% of the $20-seats and some $45-seats were sold. A total of $22620 was collected. How many seats were unsold?
|
$45 |
$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 = 1048
1 u = 1048 ÷ 8 = 131
Total number of $20-seat tickets
= 5 u
= 5 x 131
= 655
Number of $20-seat tickets sold
= 60% x 655
=
60100 x 655
= 393
Amount collected from $20-seat tickets sold
= 393 x 20
= $7860
Amount collected from $45-seat tickets sold
= 22620 - 7860
= $14760
Number of $45-seat tickets sold
= 14760 ÷ 45
= 328
Number of tickets sold
= 393 + 328
= 721
Number of tickets left unsold
= 1048 - 721
= 327
Answer(s): 327