The auditorium had 1053 seats. There were 20% fewer $30-seats than $15-seats. 80% of the $15-seats and some $30-seats were sold. A total of $20580 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 = 1053
1 u = 1053 ÷ 9 = 117
Total number of $15-seat tickets
= 5 u
= 5 x 117
= 585
Number of $15-seat tickets sold
= 80% x 585
=
80100 x 585
= 468
Amount collected from $15-seat tickets sold
= 468 x 15
= $7020
Amount collected from $30-seat tickets sold
= 20580 - 7020
= $13560
Number of $30-seat tickets sold
= 13560 ÷ 30
= 452
Number of tickets sold
= 468 + 452
= 920
Number of tickets left unsold
= 1053 - 920
= 133
Answer(s): 133