The auditorium had 1386 seats. There were 25% fewer $45-seats than $15-seats. 75% of the $15-seats and some $45-seats were sold. A total of $23130 was collected. How many seats were unsold?
|
$45 |
$15 |
Total |
Number |
3 u |
4 u |
7 u |
100% - 25% = 75%
75100 =
34 Total number of seats
= 3 u + 4 u
= 7 u
7 u = 1386
1 u = 1386 ÷ 7 = 198
Total number of $15-seat tickets
= 4 u
= 4 x 198
= 792
Number of $15-seat tickets sold
= 75% x 792
=
75100 x 792
= 594
Amount collected from $15-seat tickets sold
= 594 x 15
= $8910
Amount collected from $45-seat tickets sold
= 23130 - 8910
= $14220
Number of $45-seat tickets sold
= 14220 ÷ 45
= 316
Number of tickets sold
= 594 + 316
= 910
Number of tickets left unsold
= 1386 - 910
= 476
Answer(s): 476