The auditorium had 1584 seats. There were 20% fewer $45-seats than $15-seats. 60% of the $15-seats and some $45-seats were sold. A total of $25200 was collected. How many seats were unsold?
|
$45 |
$15 |
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 = 1584
1 u = 1584 ÷ 9 = 176
Total number of $15-seat tickets
= 5 u
= 5 x 176
= 880
Number of $15-seat tickets sold
= 60% x 880
=
60100 x 880
= 528
Amount collected from $15-seat tickets sold
= 528 x 15
= $7920
Amount collected from $45-seat tickets sold
= 25200 - 7920
= $17280
Number of $45-seat tickets sold
= 17280 ÷ 45
= 384
Number of tickets sold
= 528 + 384
= 912
Number of tickets left unsold
= 1584 - 912
= 672
Answer(s): 672