The auditorium had 2124 seats. There were 20% fewer $30-seats than $20-seats. 60% of the $20-seats and some $30-seats were sold. A total of $28950 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 = 2124
1 u = 2124 ÷ 9 = 236
Total number of $20-seat tickets
= 5 u
= 5 x 236
= 1180
Number of $20-seat tickets sold
= 60% x 1180
=
60100 x 1180
= 708
Amount collected from $20-seat tickets sold
= 708 x 20
= $14160
Amount collected from $30-seat tickets sold
= 28950 - 14160
= $14790
Number of $30-seat tickets sold
= 14790 ÷ 30
= 493
Number of tickets sold
= 708 + 493
= 1201
Number of tickets left unsold
= 2124 - 1201
= 923
Answer(s): 923