The theatre had 1980 seats. There were 20% fewer $25-seats than $10-seats. 50% of the $10-seats and some $25-seats were sold. A total of $14775 was collected. How many seats were unsold?
|
$25 |
$10 |
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 = 1980
1 u = 1980 ÷ 9 = 220
Total number of $10-seat tickets
= 5 u
= 5 x 220
= 1100
Number of $10-seat tickets sold
= 50% x 1100
=
50100 x 1100
= 550
Amount collected from $10-seat tickets sold
= 550 x 10
= $5500
Amount collected from $25-seat tickets sold
= 14775 - 5500
= $9275
Number of $25-seat tickets sold
= 9275 ÷ 25
= 371
Number of tickets sold
= 550 + 371
= 921
Number of tickets left unsold
= 1980 - 921
= 1059
Answer(s): 1059