The auditorium had 2288 seats. There were 40% fewer $35-seats than $20-seats. 80% of the $20-seats and some $35-seats were sold. A total of $36950 was collected. How many seats were unsold?
|
$35 |
$20 |
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 = 2288
1 u = 2288 ÷ 8 = 286
Total number of $20-seat tickets
= 5 u
= 5 x 286
= 1430
Number of $20-seat tickets sold
= 80% x 1430
=
80100 x 1430
= 1144
Amount collected from $20-seat tickets sold
= 1144 x 20
= $22880
Amount collected from $35-seat tickets sold
= 36950 - 22880
= $14070
Number of $35-seat tickets sold
= 14070 ÷ 35
= 402
Number of tickets sold
= 1144 + 402
= 1546
Number of tickets left unsold
= 2288 - 1546
= 742
Answer(s): 742