The auditorium had 824 seats. There were 40% fewer $35-seats than $10-seats. 60% of the $10-seats and some $35-seats were sold. A total of $14080 was collected. How many seats were unsold?
|
$35 |
$10 |
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 = 824
1 u = 824 ÷ 8 = 103
Total number of $10-seat tickets
= 5 u
= 5 x 103
= 515
Number of $10-seat tickets sold
= 60% x 515
=
60100 x 515
= 309
Amount collected from $10-seat tickets sold
= 309 x 10
= $3090
Amount collected from $35-seat tickets sold
= 14080 - 3090
= $10990
Number of $35-seat tickets sold
= 10990 ÷ 35
= 314
Number of tickets sold
= 309 + 314
= 623
Number of tickets left unsold
= 824 - 623
= 201
Answer(s): 201