The theatre had 918 seats. There were 20% fewer $25-seats than $10-seats. 60% of the $10-seats and some $25-seats were sold. A total of $15010 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 = 918
1 u = 918 ÷ 9 = 102
Total number of $10-seat tickets
= 5 u
= 5 x 102
= 510
Number of $10-seat tickets sold
= 60% x 510
=
60100 x 510
= 306
Amount collected from $10-seat tickets sold
= 306 x 10
= $3060
Amount collected from $25-seat tickets sold
= 15010 - 3060
= $11950
Number of $25-seat tickets sold
= 11950 ÷ 25
= 478
Number of tickets sold
= 306 + 478
= 784
Number of tickets left unsold
= 918 - 784
= 134
Answer(s): 134