The auditorium had 1989 seats. There were 20% fewer $40-seats than $15-seats. 60% of the $15-seats and some $40-seats were sold. A total of $28585 was collected. How many seats were unsold?
|
$40 |
$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 = 1989
1 u = 1989 ÷ 9 = 221
Total number of $15-seat tickets
= 5 u
= 5 x 221
= 1105
Number of $15-seat tickets sold
= 60% x 1105
=
60100 x 1105
= 663
Amount collected from $15-seat tickets sold
= 663 x 15
= $9945
Amount collected from $40-seat tickets sold
= 28585 - 9945
= $18640
Number of $40-seat tickets sold
= 18640 ÷ 40
= 466
Number of tickets sold
= 663 + 466
= 1129
Number of tickets left unsold
= 1989 - 1129
= 860
Answer(s): 860