The drama centre had 2025 seats. There were 20% fewer $45-seats than $10-seats. 80% of the $10-seats and some $45-seats were sold. A total of $25650 was collected. How many seats were unsold?
|
$45 |
$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 = 2025
1 u = 2025 ÷ 9 = 225
Total number of $10-seat tickets
= 5 u
= 5 x 225
= 1125
Number of $10-seat tickets sold
= 80% x 1125
=
80100 x 1125
= 900
Amount collected from $10-seat tickets sold
= 900 x 10
= $9000
Amount collected from $45-seat tickets sold
= 25650 - 9000
= $16650
Number of $45-seat tickets sold
= 16650 ÷ 45
= 370
Number of tickets sold
= 900 + 370
= 1270
Number of tickets left unsold
= 2025 - 1270
= 755
Answer(s): 755