The opera house had 1917 seats. There were 20% fewer $40-seats than $10-seats. 60% of the $10-seats and some $40-seats were sold. A total of $21190 was collected. How many seats were unsold?
|
$40 |
$10 |
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 = 1917
1 u = 1917 ÷ 9 = 213
Total number of $10-seat tickets
= 5 u
= 5 x 213
= 1065
Number of $10-seat tickets sold
= 60% x 1065
=
60100 x 1065
= 639
Amount collected from $10-seat tickets sold
= 639 x 10
= $6390
Amount collected from $40-seat tickets sold
= 21190 - 6390
= $14800
Number of $40-seat tickets sold
= 14800 ÷ 40
= 370
Number of tickets sold
= 639 + 370
= 1009
Number of tickets left unsold
= 1917 - 1009
= 908
Answer(s): 908