The opera house had 952 seats. There were 40% fewer $40-seats than $10-seats. 60% of the $10-seats and some $40-seats were sold. A total of $23290 was collected. How many seats were unsold?
|
$40 |
$10 |
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 = 952
1 u = 952 ÷ 8 = 119
Total number of $10-seat tickets
= 5 u
= 5 x 119
= 595
Number of $10-seat tickets sold
= 60% x 595
=
60100 x 595
= 357
Amount collected from $10-seat tickets sold
= 357 x 10
= $3570
Amount collected from $40-seat tickets sold
= 23290 - 3570
= $19720
Number of $40-seat tickets sold
= 19720 ÷ 40
= 493
Number of tickets sold
= 357 + 493
= 850
Number of tickets left unsold
= 952 - 850
= 102
Answer(s): 102