The drama centre had 2412 seats. There were 20% fewer $25-seats than $10-seats. 75% of the $10-seats and some $25-seats were sold. A total of $20675 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 = 2412
1 u = 2412 ÷ 9 = 268
Total number of $10-seat tickets
= 5 u
= 5 x 268
= 1340
Number of $10-seat tickets sold
= 75% x 1340
=
75100 x 1340
= 1005
Amount collected from $10-seat tickets sold
= 1005 x 10
= $10050
Amount collected from $25-seat tickets sold
= 20675 - 10050
= $10625
Number of $25-seat tickets sold
= 10625 ÷ 25
= 425
Number of tickets sold
= 1005 + 425
= 1430
Number of tickets left unsold
= 2412 - 1430
= 982
Answer(s): 982