The theatre had 1953 seats. There were 20% fewer $30-seats than $20-seats. 80% of the $20-seats and some $30-seats were sold. A total of $26630 was collected. How many seats were unsold?
|
$30 |
$20 |
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 = 1953
1 u = 1953 ÷ 9 = 217
Total number of $20-seat tickets
= 5 u
= 5 x 217
= 1085
Number of $20-seat tickets sold
= 80% x 1085
=
80100 x 1085
= 868
Amount collected from $20-seat tickets sold
= 868 x 20
= $17360
Amount collected from $30-seat tickets sold
= 26630 - 17360
= $9270
Number of $30-seat tickets sold
= 9270 ÷ 30
= 309
Number of tickets sold
= 868 + 309
= 1177
Number of tickets left unsold
= 1953 - 1177
= 776
Answer(s): 776