The theatre had 2448 seats. There were 20% fewer $40-seats than $15-seats. 75% of the $15-seats and some $40-seats were sold. A total of $32500 was collected. How many seats were unsold?
|
$40 |
$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 = 2448
1 u = 2448 ÷ 9 = 272
Total number of $15-seat tickets
= 5 u
= 5 x 272
= 1360
Number of $15-seat tickets sold
= 75% x 1360
=
75100 x 1360
= 1020
Amount collected from $15-seat tickets sold
= 1020 x 15
= $15300
Amount collected from $40-seat tickets sold
= 32500 - 15300
= $17200
Number of $40-seat tickets sold
= 17200 ÷ 40
= 430
Number of tickets sold
= 1020 + 430
= 1450
Number of tickets left unsold
= 2448 - 1450
= 998
Answer(s): 998