The opera house had 1888 seats. There were 40% fewer $50-seats than $15-seats. 80% of the $15-seats and some $50-seats were sold. A total of $36560 was collected. How many seats were unsold?
|
$50 |
$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 = 1888
1 u = 1888 ÷ 8 = 236
Total number of $15-seat tickets
= 5 u
= 5 x 236
= 1180
Number of $15-seat tickets sold
= 80% x 1180
=
80100 x 1180
= 944
Amount collected from $15-seat tickets sold
= 944 x 15
= $14160
Amount collected from $50-seat tickets sold
= 36560 - 14160
= $22400
Number of $50-seat tickets sold
= 22400 ÷ 50
= 448
Number of tickets sold
= 944 + 448
= 1392
Number of tickets left unsold
= 1888 - 1392
= 496
Answer(s): 496