The theatre had 1056 seats. There were 40% fewer $35-seats than $5-seats. 60% of the $5-seats and some $35-seats were sold. A total of $16505 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 = 1056
1 u = 1056 ÷ 8 = 132
Total number of $5-seat tickets
= 5 u
= 5 x 132
= 660
Number of $5-seat tickets sold
= 60% x 660
=
60100 x 660
= 396
Amount collected from $5-seat tickets sold
= 396 x 5
= $1980
Amount collected from $35-seat tickets sold
= 16505 - 1980
= $14525
Number of $35-seat tickets sold
= 14525 ÷ 35
= 415
Number of tickets sold
= 396 + 415
= 811
Number of tickets left unsold
= 1056 - 811
= 245
Answer(s): 245