The theatre had 1376 seats. There were 40% fewer $30-seats than $15-seats. 60% of the $15-seats and some $30-seats were sold. A total of $17580 was collected. How many seats were unsold?
|
$30 |
$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 = 1376
1 u = 1376 ÷ 8 = 172
Total number of $15-seat tickets
= 5 u
= 5 x 172
= 860
Number of $15-seat tickets sold
= 60% x 860
=
60100 x 860
= 516
Amount collected from $15-seat tickets sold
= 516 x 15
= $7740
Amount collected from $30-seat tickets sold
= 17580 - 7740
= $9840
Number of $30-seat tickets sold
= 9840 ÷ 30
= 328
Number of tickets sold
= 516 + 328
= 844
Number of tickets left unsold
= 1376 - 844
= 532
Answer(s): 532