The drama centre had 1855 seats. There were 25% fewer $40-seats than $15-seats. 80% of the $15-seats and some $40-seats were sold. A total of $29040 was collected. How many seats were unsold?
|
$40 |
$15 |
Total |
Number |
3 u |
4 u |
7 u |
100% - 25% = 75%
75100 =
34 Total number of seats
= 3 u + 4 u
= 7 u
7 u = 1855
1 u = 1855 ÷ 7 = 265
Total number of $15-seat tickets
= 4 u
= 4 x 265
= 1060
Number of $15-seat tickets sold
= 80% x 1060
=
80100 x 1060
= 848
Amount collected from $15-seat tickets sold
= 848 x 15
= $12720
Amount collected from $40-seat tickets sold
= 29040 - 12720
= $16320
Number of $40-seat tickets sold
= 16320 ÷ 40
= 408
Number of tickets sold
= 848 + 408
= 1256
Number of tickets left unsold
= 1855 - 1256
= 599
Answer(s): 599