The drama centre had 1536 seats. There were 40% fewer $45-seats than $20-seats. 80% of the $20-seats and some $45-seats were sold. A total of $31740 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 = 1536
1 u = 1536 ÷ 8 = 192
Total number of $20-seat tickets
= 5 u
= 5 x 192
= 960
Number of $20-seat tickets sold
= 80% x 960
=
80100 x 960
= 768
Amount collected from $20-seat tickets sold
= 768 x 20
= $15360
Amount collected from $45-seat tickets sold
= 31740 - 15360
= $16380
Number of $45-seat tickets sold
= 16380 ÷ 45
= 364
Number of tickets sold
= 768 + 364
= 1132
Number of tickets left unsold
= 1536 - 1132
= 404
Answer(s): 404