The theatre had 1800 seats. There were 40% fewer $45-seats than $5-seats. 80% of the $5-seats and some $45-seats were sold. A total of $26055 was collected. How many seats were unsold?
|
$45 |
$5 |
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 = 1800
1 u = 1800 ÷ 8 = 225
Total number of $5-seat tickets
= 5 u
= 5 x 225
= 1125
Number of $5-seat tickets sold
= 80% x 1125
=
80100 x 1125
= 900
Amount collected from $5-seat tickets sold
= 900 x 5
= $4500
Amount collected from $45-seat tickets sold
= 26055 - 4500
= $21555
Number of $45-seat tickets sold
= 21555 ÷ 45
= 479
Number of tickets sold
= 900 + 479
= 1379
Number of tickets left unsold
= 1800 - 1379
= 421
Answer(s): 421