The theatre had 1512 seats. There were 40% fewer $30-seats than $20-seats. 80% of the $20-seats and some $30-seats were sold. A total of $26430 was collected. How many seats were unsold?
|
$30 |
$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 = 1512
1 u = 1512 ÷ 8 = 189
Total number of $20-seat tickets
= 5 u
= 5 x 189
= 945
Number of $20-seat tickets sold
= 80% x 945
=
80100 x 945
= 756
Amount collected from $20-seat tickets sold
= 756 x 20
= $15120
Amount collected from $30-seat tickets sold
= 26430 - 15120
= $11310
Number of $30-seat tickets sold
= 11310 ÷ 30
= 377
Number of tickets sold
= 756 + 377
= 1133
Number of tickets left unsold
= 1512 - 1133
= 379
Answer(s): 379