The drama centre had 1216 seats. There were 40% fewer $45-seats than $15-seats. 60% of the $15-seats and some $45-seats were sold. A total of $28845 was collected. How many seats were unsold?
|
$45 |
$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 = 1216
1 u = 1216 ÷ 8 = 152
Total number of $15-seat tickets
= 5 u
= 5 x 152
= 760
Number of $15-seat tickets sold
= 60% x 760
=
60100 x 760
= 456
Amount collected from $15-seat tickets sold
= 456 x 15
= $6840
Amount collected from $45-seat tickets sold
= 28845 - 6840
= $22005
Number of $45-seat tickets sold
= 22005 ÷ 45
= 489
Number of tickets sold
= 456 + 489
= 945
Number of tickets left unsold
= 1216 - 945
= 271
Answer(s): 271