The drama centre had 2136 seats. There were 40% fewer $35-seats than $15-seats. 80% of the $15-seats and some $35-seats were sold. A total of $30335 was collected. How many seats were unsold?
|
$35 |
$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 = 2136
1 u = 2136 ÷ 8 = 267
Total number of $15-seat tickets
= 5 u
= 5 x 267
= 1335
Number of $15-seat tickets sold
= 80% x 1335
=
80100 x 1335
= 1068
Amount collected from $15-seat tickets sold
= 1068 x 15
= $16020
Amount collected from $35-seat tickets sold
= 30335 - 16020
= $14315
Number of $35-seat tickets sold
= 14315 ÷ 35
= 409
Number of tickets sold
= 1068 + 409
= 1477
Number of tickets left unsold
= 2136 - 1477
= 659
Answer(s): 659