The drama centre had 2360 seats. There were 40% fewer $35-seats than $15-seats. 60% of the $15-seats and some $35-seats were sold. A total of $25035 was collected. How many seats were unsold?
|
$35 |
$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 = 2360
1 u = 2360 ÷ 8 = 295
Total number of $15-seat tickets
= 5 u
= 5 x 295
= 1475
Number of $15-seat tickets sold
= 60% x 1475
=
60100 x 1475
= 885
Amount collected from $15-seat tickets sold
= 885 x 15
= $13275
Amount collected from $35-seat tickets sold
= 25035 - 13275
= $11760
Number of $35-seat tickets sold
= 11760 ÷ 35
= 336
Number of tickets sold
= 885 + 336
= 1221
Number of tickets left unsold
= 2360 - 1221
= 1139
Answer(s): 1139