The theatre had 1936 seats. There were 40% fewer $50-seats than $15-seats. 50% of the $15-seats and some $50-seats were sold. A total of $28925 was collected. How many seats were unsold?
|
$50 |
$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 = 1936
1 u = 1936 ÷ 8 = 242
Total number of $15-seat tickets
= 5 u
= 5 x 242
= 1210
Number of $15-seat tickets sold
= 50% x 1210
=
50100 x 1210
= 605
Amount collected from $15-seat tickets sold
= 605 x 15
= $9075
Amount collected from $50-seat tickets sold
= 28925 - 9075
= $19850
Number of $50-seat tickets sold
= 19850 ÷ 50
= 397
Number of tickets sold
= 605 + 397
= 1002
Number of tickets left unsold
= 1936 - 1002
= 934
Answer(s): 934