The auditorium had 1472 seats. There were 40% fewer $30-seats than $10-seats. 80% of the $10-seats and some $30-seats were sold. A total of $19150 was collected. How many seats were unsold?
|
$30 |
$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 = 1472
1 u = 1472 ÷ 8 = 184
Total number of $10-seat tickets
= 5 u
= 5 x 184
= 920
Number of $10-seat tickets sold
= 80% x 920
=
80100 x 920
= 736
Amount collected from $10-seat tickets sold
= 736 x 10
= $7360
Amount collected from $30-seat tickets sold
= 19150 - 7360
= $11790
Number of $30-seat tickets sold
= 11790 ÷ 30
= 393
Number of tickets sold
= 736 + 393
= 1129
Number of tickets left unsold
= 1472 - 1129
= 343
Answer(s): 343