The drama centre had 1494 seats. There were 20% fewer $25-seats than $10-seats. 50% of the $10-seats and some $25-seats were sold. A total of $13550 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 = 1494
1 u = 1494 ÷ 9 = 166
Total number of $10-seat tickets
= 5 u
= 5 x 166
= 830
Number of $10-seat tickets sold
= 50% x 830
=
50100 x 830
= 415
Amount collected from $10-seat tickets sold
= 415 x 10
= $4150
Amount collected from $25-seat tickets sold
= 13550 - 4150
= $9400
Number of $25-seat tickets sold
= 9400 ÷ 25
= 376
Number of tickets sold
= 415 + 376
= 791
Number of tickets left unsold
= 1494 - 791
= 703
Answer(s): 703