The auditorium had 912 seats. There were 40% fewer $40-seats than $15-seats. 60% of the $15-seats and some $40-seats were sold. A total of $23410 was collected. How many seats were unsold?
|
$40 |
$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 = 912
1 u = 912 ÷ 8 = 114
Total number of $15-seat tickets
= 5 u
= 5 x 114
= 570
Number of $15-seat tickets sold
= 60% x 570
=
60100 x 570
= 342
Amount collected from $15-seat tickets sold
= 342 x 15
= $5130
Amount collected from $40-seat tickets sold
= 23410 - 5130
= $18280
Number of $40-seat tickets sold
= 18280 ÷ 40
= 457
Number of tickets sold
= 342 + 457
= 799
Number of tickets left unsold
= 912 - 799
= 113
Answer(s): 113