The auditorium had 2160 seats. There were 20% fewer $30-seats than $20-seats. 50% of the $20-seats and some $30-seats were sold. A total of $25410 was collected. How many seats were unsold?
|
$30 |
$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 = 2160
1 u = 2160 ÷ 9 = 240
Total number of $20-seat tickets
= 5 u
= 5 x 240
= 1200
Number of $20-seat tickets sold
= 50% x 1200
=
50100 x 1200
= 600
Amount collected from $20-seat tickets sold
= 600 x 20
= $12000
Amount collected from $30-seat tickets sold
= 25410 - 12000
= $13410
Number of $30-seat tickets sold
= 13410 ÷ 30
= 447
Number of tickets sold
= 600 + 447
= 1047
Number of tickets left unsold
= 2160 - 1047
= 1113
Answer(s): 1113