The theatre had 1176 seats. There were 40% fewer $50-seats than $5-seats. 80% of the $5-seats and some $50-seats were sold. A total of $20540 was collected. How many seats were unsold?
|
$50 |
$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 = 1176
1 u = 1176 ÷ 8 = 147
Total number of $5-seat tickets
= 5 u
= 5 x 147
= 735
Number of $5-seat tickets sold
= 80% x 735
=
80100 x 735
= 588
Amount collected from $5-seat tickets sold
= 588 x 5
= $2940
Amount collected from $50-seat tickets sold
= 20540 - 2940
= $17600
Number of $50-seat tickets sold
= 17600 ÷ 50
= 352
Number of tickets sold
= 588 + 352
= 940
Number of tickets left unsold
= 1176 - 940
= 236
Answer(s): 236