The drama centre had 1764 seats. There were 20% fewer $40-seats than $5-seats. 60% of the $5-seats and some $40-seats were sold. A total of $20380 was collected. How many seats were unsold?
|
$40 |
$5 |
Total |
Number |
4 u |
5 u |
9 u |
100% - 20% = 80%
80100 =
45 Total number of seats
= 4 u + 5 u
= 9 u
9 u = 1764
1 u = 1764 ÷ 9 = 196
Total number of $5-seat tickets
= 5 u
= 5 x 196
= 980
Number of $5-seat tickets sold
= 60% x 980
=
60100 x 980
= 588
Amount collected from $5-seat tickets sold
= 588 x 5
= $2940
Amount collected from $40-seat tickets sold
= 20380 - 2940
= $17440
Number of $40-seat tickets sold
= 17440 ÷ 40
= 436
Number of tickets sold
= 588 + 436
= 1024
Number of tickets left unsold
= 1764 - 1024
= 740
Answer(s): 740