The auditorium had 2106 seats. There were 20% fewer $45-seats than $10-seats. 80% of the $10-seats and some $45-seats were sold. A total of $23580 was collected. How many seats were unsold?
|
$45 |
$10 |
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 $10-seat tickets
= 5 u
= 5 x 234
= 1170
Number of $10-seat tickets sold
= 80% x 1170
=
80100 x 1170
= 936
Amount collected from $10-seat tickets sold
= 936 x 10
= $9360
Amount collected from $45-seat tickets sold
= 23580 - 9360
= $14220
Number of $45-seat tickets sold
= 14220 ÷ 45
= 316
Number of tickets sold
= 936 + 316
= 1252
Number of tickets left unsold
= 2106 - 1252
= 854
Answer(s): 854