The auditorium had 1539 seats. There were 20% fewer $35-seats than $10-seats. 80% of the $10-seats and some $35-seats were sold. A total of $23535 was collected. How many seats were unsold?
|
$35 |
$10 |
Total |
Number |
4 u |
5 u |
9 u |
100% - 20% = 80%
80100 =
45 Total number of seats
= 4 u + 5 u
= 9 u
9 u = 1539
1 u = 1539 ÷ 9 = 171
Total number of $10-seat tickets
= 5 u
= 5 x 171
= 855
Number of $10-seat tickets sold
= 80% x 855
=
80100 x 855
= 684
Amount collected from $10-seat tickets sold
= 684 x 10
= $6840
Amount collected from $35-seat tickets sold
= 23535 - 6840
= $16695
Number of $35-seat tickets sold
= 16695 ÷ 35
= 477
Number of tickets sold
= 684 + 477
= 1161
Number of tickets left unsold
= 1539 - 1161
= 378
Answer(s): 378