The drama centre had 1233 seats. There were 20% fewer $45-seats than $10-seats. 80% of the $10-seats and some $45-seats were sold. A total of $22670 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 = 1233
1 u = 1233 ÷ 9 = 137
Total number of $10-seat tickets
= 5 u
= 5 x 137
= 685
Number of $10-seat tickets sold
= 80% x 685
=
80100 x 685
= 548
Amount collected from $10-seat tickets sold
= 548 x 10
= $5480
Amount collected from $45-seat tickets sold
= 22670 - 5480
= $17190
Number of $45-seat tickets sold
= 17190 ÷ 45
= 382
Number of tickets sold
= 548 + 382
= 930
Number of tickets left unsold
= 1233 - 930
= 303
Answer(s): 303