The theatre had 2106 seats. There were 20% fewer $30-seats than $5-seats. 50% of the $5-seats and some $30-seats were sold. A total of $13695 was collected. How many seats were unsold?
|
$30 |
$5 |
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 = 2106
1 u = 2106 ÷ 9 = 234
Total number of $5-seat tickets
= 5 u
= 5 x 234
= 1170
Number of $5-seat tickets sold
= 50% x 1170
=
50100 x 1170
= 585
Amount collected from $5-seat tickets sold
= 585 x 5
= $2925
Amount collected from $30-seat tickets sold
= 13695 - 2925
= $10770
Number of $30-seat tickets sold
= 10770 ÷ 30
= 359
Number of tickets sold
= 585 + 359
= 944
Number of tickets left unsold
= 2106 - 944
= 1162
Answer(s): 1162