The theatre had 2673 seats. There were 20% fewer $25-seats than $20-seats. 80% of the $20-seats and some $25-seats were sold. A total of $34935 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 = 2673
1 u = 2673 ÷ 9 = 297
Total number of $20-seat tickets
= 5 u
= 5 x 297
= 1485
Number of $20-seat tickets sold
= 80% x 1485
=
80100 x 1485
= 1188
Amount collected from $20-seat tickets sold
= 1188 x 20
= $23760
Amount collected from $25-seat tickets sold
= 34935 - 23760
= $11175
Number of $25-seat tickets sold
= 11175 ÷ 25
= 447
Number of tickets sold
= 1188 + 447
= 1635
Number of tickets left unsold
= 2673 - 1635
= 1038
Answer(s): 1038