The drama centre had 1026 seats. There were 20% fewer $25-seats than $5-seats. 50% of the $5-seats and some $25-seats were sold. A total of $10775 was collected. How many seats were unsold?
|
$25 |
$5 |
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 = 1026
1 u = 1026 ÷ 9 = 114
Total number of $5-seat tickets
= 5 u
= 5 x 114
= 570
Number of $5-seat tickets sold
= 50% x 570
=
50100 x 570
= 285
Amount collected from $5-seat tickets sold
= 285 x 5
= $1425
Amount collected from $25-seat tickets sold
= 10775 - 1425
= $9350
Number of $25-seat tickets sold
= 9350 ÷ 25
= 374
Number of tickets sold
= 285 + 374
= 659
Number of tickets left unsold
= 1026 - 659
= 367
Answer(s): 367