The theatre had 1728 seats. There were 40% fewer $25-seats than $20-seats. 80% of the $20-seats and some $25-seats were sold. A total of $26905 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 = 1728
1 u = 1728 ÷ 8 = 216
Total number of $20-seat tickets
= 5 u
= 5 x 216
= 1080
Number of $20-seat tickets sold
= 80% x 1080
=
80100 x 1080
= 864
Amount collected from $20-seat tickets sold
= 864 x 20
= $17280
Amount collected from $25-seat tickets sold
= 26905 - 17280
= $9625
Number of $25-seat tickets sold
= 9625 ÷ 25
= 385
Number of tickets sold
= 864 + 385
= 1249
Number of tickets left unsold
= 1728 - 1249
= 479
Answer(s): 479