The drama centre had 1440 seats. There were 20% fewer $25-seats than $10-seats. 80% of the $10-seats and some $25-seats were sold. A total of $17500 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 = 1440
1 u = 1440 ÷ 9 = 160
Total number of $10-seat tickets
= 5 u
= 5 x 160
= 800
Number of $10-seat tickets sold
= 80% x 800
=
80100 x 800
= 640
Amount collected from $10-seat tickets sold
= 640 x 10
= $6400
Amount collected from $25-seat tickets sold
= 17500 - 6400
= $11100
Number of $25-seat tickets sold
= 11100 ÷ 25
= 444
Number of tickets sold
= 640 + 444
= 1084
Number of tickets left unsold
= 1440 - 1084
= 356
Answer(s): 356