The opera house had 1936 seats. There were 40% fewer $30-seats than $15-seats. 50% of the $15-seats and some $30-seats were sold. A total of $19545 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 = 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 $30-seat tickets sold
= 19545 - 9075
= $10470
Number of $30-seat tickets sold
= 10470 ÷ 30
= 349
Number of tickets sold
= 605 + 349
= 954
Number of tickets left unsold
= 1936 - 954
= 982
Answer(s): 982