The drama centre had 1440 seats. There were 40% fewer $45-seats than $5-seats. 80% of the $5-seats and some $45-seats were sold. A total of $21870 was collected. How many seats were unsold?
|
$45 |
$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 = 1440
1 u = 1440 ÷ 8 = 180
Total number of $5-seat tickets
= 5 u
= 5 x 180
= 900
Number of $5-seat tickets sold
= 80% x 900
=
80100 x 900
= 720
Amount collected from $5-seat tickets sold
= 720 x 5
= $3600
Amount collected from $45-seat tickets sold
= 21870 - 3600
= $18270
Number of $45-seat tickets sold
= 18270 ÷ 45
= 406
Number of tickets sold
= 720 + 406
= 1126
Number of tickets left unsold
= 1440 - 1126
= 314
Answer(s): 314