The auditorium had 2628 seats. There were 20% fewer $30-seats than $15-seats. 60% of the $15-seats and some $30-seats were sold. A total of $25020 was collected. How many seats were unsold?
|
$30 |
$15 |
Total |
Number |
4 u |
5 u |
9 u |
100% - 20% = 80%
80100 =
45 Total number of seats
= 4 u + 5 u
= 9 u
9 u = 2628
1 u = 2628 ÷ 9 = 292
Total number of $15-seat tickets
= 5 u
= 5 x 292
= 1460
Number of $15-seat tickets sold
= 60% x 1460
=
60100 x 1460
= 876
Amount collected from $15-seat tickets sold
= 876 x 15
= $13140
Amount collected from $30-seat tickets sold
= 25020 - 13140
= $11880
Number of $30-seat tickets sold
= 11880 ÷ 30
= 396
Number of tickets sold
= 876 + 396
= 1272
Number of tickets left unsold
= 2628 - 1272
= 1356
Answer(s): 1356