The drama centre had 2344 seats. There were 40% fewer $30-seats than $15-seats. 60% of the $15-seats and some $30-seats were sold. A total of $25455 was collected. How many seats were unsold?
|
$30 |
$15 |
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 = 2344
1 u = 2344 ÷ 8 = 293
Total number of $15-seat tickets
= 5 u
= 5 x 293
= 1465
Number of $15-seat tickets sold
= 60% x 1465
=
60100 x 1465
= 879
Amount collected from $15-seat tickets sold
= 879 x 15
= $13185
Amount collected from $30-seat tickets sold
= 25455 - 13185
= $12270
Number of $30-seat tickets sold
= 12270 ÷ 30
= 409
Number of tickets sold
= 879 + 409
= 1288
Number of tickets left unsold
= 2344 - 1288
= 1056
Answer(s): 1056