The auditorium had 2493 seats. There were 20% fewer $40-seats than $5-seats. 60% of the $5-seats and some $40-seats were sold. A total of $18435 was collected. How many seats were unsold?
|
$40 |
$5 |
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 = 2493
1 u = 2493 ÷ 9 = 277
Total number of $5-seat tickets
= 5 u
= 5 x 277
= 1385
Number of $5-seat tickets sold
= 60% x 1385
=
60100 x 1385
= 831
Amount collected from $5-seat tickets sold
= 831 x 5
= $4155
Amount collected from $40-seat tickets sold
= 18435 - 4155
= $14280
Number of $40-seat tickets sold
= 14280 ÷ 40
= 357
Number of tickets sold
= 831 + 357
= 1188
Number of tickets left unsold
= 2493 - 1188
= 1305
Answer(s): 1305