The theatre had 2025 seats. There were 20% fewer $25-seats than $20-seats. 60% of the $20-seats and some $25-seats were sold. A total of $22175 was collected. How many seats were unsold?
|
$25 |
$20 |
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 = 2025
1 u = 2025 ÷ 9 = 225
Total number of $20-seat tickets
= 5 u
= 5 x 225
= 1125
Number of $20-seat tickets sold
= 60% x 1125
=
60100 x 1125
= 675
Amount collected from $20-seat tickets sold
= 675 x 20
= $13500
Amount collected from $25-seat tickets sold
= 22175 - 13500
= $8675
Number of $25-seat tickets sold
= 8675 ÷ 25
= 347
Number of tickets sold
= 675 + 347
= 1022
Number of tickets left unsold
= 2025 - 1022
= 1003
Answer(s): 1003