The theatre had 1848 seats. There were 40% fewer $30-seats than $15-seats. 80% of the $15-seats and some $30-seats were sold. A total of $27930 was collected. How many seats were unsold?
|
$30 |
$15 |
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 = 1848
1 u = 1848 ÷ 8 = 231
Total number of $15-seat tickets
= 5 u
= 5 x 231
= 1155
Number of $15-seat tickets sold
= 80% x 1155
=
80100 x 1155
= 924
Amount collected from $15-seat tickets sold
= 924 x 15
= $13860
Amount collected from $30-seat tickets sold
= 27930 - 13860
= $14070
Number of $30-seat tickets sold
= 14070 ÷ 30
= 469
Number of tickets sold
= 924 + 469
= 1393
Number of tickets left unsold
= 1848 - 1393
= 455
Answer(s): 455