The drama centre had 2025 seats. There were 20% fewer $30-seats than $15-seats. 80% of the $15-seats and some $30-seats were sold. A total of $24000 was collected. How many seats were unsold?
|
$30 |
$15 |
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 = 2025
1 u = 2025 ÷ 9 = 225
Total number of $15-seat tickets
= 5 u
= 5 x 225
= 1125
Number of $15-seat tickets sold
= 80% x 1125
=
80100 x 1125
= 900
Amount collected from $15-seat tickets sold
= 900 x 15
= $13500
Amount collected from $30-seat tickets sold
= 24000 - 13500
= $10500
Number of $30-seat tickets sold
= 10500 ÷ 30
= 350
Number of tickets sold
= 900 + 350
= 1250
Number of tickets left unsold
= 2025 - 1250
= 775
Answer(s): 775