The auditorium had 2088 seats. There were 20% fewer $45-seats than $20-seats. 60% of the $20-seats and some $45-seats were sold. A total of $35295 was collected. How many seats were unsold?
|
$45 |
$20 |
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 = 2088
1 u = 2088 ÷ 9 = 232
Total number of $20-seat tickets
= 5 u
= 5 x 232
= 1160
Number of $20-seat tickets sold
= 60% x 1160
=
60100 x 1160
= 696
Amount collected from $20-seat tickets sold
= 696 x 20
= $13920
Amount collected from $45-seat tickets sold
= 35295 - 13920
= $21375
Number of $45-seat tickets sold
= 21375 ÷ 45
= 475
Number of tickets sold
= 696 + 475
= 1171
Number of tickets left unsold
= 2088 - 1171
= 917
Answer(s): 917