The drama centre had 1728 seats. There were 40% fewer $35-seats than $5-seats. 60% of the $5-seats and some $35-seats were sold. A total of $19865 was collected. How many seats were unsold?
|
$35 |
$5 |
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 = 1728
1 u = 1728 ÷ 8 = 216
Total number of $5-seat tickets
= 5 u
= 5 x 216
= 1080
Number of $5-seat tickets sold
= 60% x 1080
=
60100 x 1080
= 648
Amount collected from $5-seat tickets sold
= 648 x 5
= $3240
Amount collected from $35-seat tickets sold
= 19865 - 3240
= $16625
Number of $35-seat tickets sold
= 16625 ÷ 35
= 475
Number of tickets sold
= 648 + 475
= 1123
Number of tickets left unsold
= 1728 - 1123
= 605
Answer(s): 605