The opera house had 2240 seats. There were 40% fewer $35-seats than $20-seats. 75% of the $20-seats and some $35-seats were sold. A total of $32095 was collected. How many seats were unsold?
|
$35 |
$20 |
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 = 2240
1 u = 2240 ÷ 8 = 280
Total number of $20-seat tickets
= 5 u
= 5 x 280
= 1400
Number of $20-seat tickets sold
= 75% x 1400
=
75100 x 1400
= 1050
Amount collected from $20-seat tickets sold
= 1050 x 20
= $21000
Amount collected from $35-seat tickets sold
= 32095 - 21000
= $11095
Number of $35-seat tickets sold
= 11095 ÷ 35
= 317
Number of tickets sold
= 1050 + 317
= 1367
Number of tickets left unsold
= 2240 - 1367
= 873
Answer(s): 873