The opera house had 2502 seats. There were 20% fewer $35-seats than $10-seats. 60% of the $10-seats and some $35-seats were sold. A total of $20415 was collected. How many seats were unsold?
|
$35 |
$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 = 2502
1 u = 2502 ÷ 9 = 278
Total number of $10-seat tickets
= 5 u
= 5 x 278
= 1390
Number of $10-seat tickets sold
= 60% x 1390
=
60100 x 1390
= 834
Amount collected from $10-seat tickets sold
= 834 x 10
= $8340
Amount collected from $35-seat tickets sold
= 20415 - 8340
= $12075
Number of $35-seat tickets sold
= 12075 ÷ 35
= 345
Number of tickets sold
= 834 + 345
= 1179
Number of tickets left unsold
= 2502 - 1179
= 1323
Answer(s): 1323