The theatre had 1908 seats. There were 20% fewer $35-seats than $15-seats. 60% of the $15-seats and some $35-seats were sold. A total of $24870 was collected. How many seats were unsold?
|
$35 |
$15 |
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 = 1908
1 u = 1908 ÷ 9 = 212
Total number of $15-seat tickets
= 5 u
= 5 x 212
= 1060
Number of $15-seat tickets sold
= 60% x 1060
=
60100 x 1060
= 636
Amount collected from $15-seat tickets sold
= 636 x 15
= $9540
Amount collected from $35-seat tickets sold
= 24870 - 9540
= $15330
Number of $35-seat tickets sold
= 15330 ÷ 35
= 438
Number of tickets sold
= 636 + 438
= 1074
Number of tickets left unsold
= 1908 - 1074
= 834
Answer(s): 834