The theatre had 1544 seats. There were 40% fewer $25-seats than $15-seats. 60% of the $15-seats and some $25-seats were sold. A total of $19660 was collected. How many seats were unsold?
|
$25 |
$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 = 1544
1 u = 1544 ÷ 8 = 193
Total number of $15-seat tickets
= 5 u
= 5 x 193
= 965
Number of $15-seat tickets sold
= 60% x 965
=
60100 x 965
= 579
Amount collected from $15-seat tickets sold
= 579 x 15
= $8685
Amount collected from $25-seat tickets sold
= 19660 - 8685
= $10975
Number of $25-seat tickets sold
= 10975 ÷ 25
= 439
Number of tickets sold
= 579 + 439
= 1018
Number of tickets left unsold
= 1544 - 1018
= 526
Answer(s): 526