The theatre had 2360 seats. There were 40% fewer $25-seats than $20-seats. 80% of the $20-seats and some $25-seats were sold. A total of $33000 was collected. How many seats were unsold?
|
$25 |
$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 = 2360
1 u = 2360 ÷ 8 = 295
Total number of $20-seat tickets
= 5 u
= 5 x 295
= 1475
Number of $20-seat tickets sold
= 80% x 1475
=
80100 x 1475
= 1180
Amount collected from $20-seat tickets sold
= 1180 x 20
= $23600
Amount collected from $25-seat tickets sold
= 33000 - 23600
= $9400
Number of $25-seat tickets sold
= 9400 ÷ 25
= 376
Number of tickets sold
= 1180 + 376
= 1556
Number of tickets left unsold
= 2360 - 1556
= 804
Answer(s): 804