The drama centre had 1908 seats. There were 20% fewer $50-seats than $15-seats. 80% of the $15-seats and some $50-seats were sold. A total of $30770 was collected. How many seats were unsold?
|
$50 |
$15 |
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 = 1908
1 u = 1908 ÷ 9 = 212
Total number of $15-seat tickets
= 5 u
= 5 x 212
= 1060
Number of $15-seat tickets sold
= 80% x 1060
=
80100 x 1060
= 848
Amount collected from $15-seat tickets sold
= 848 x 15
= $12720
Amount collected from $50-seat tickets sold
= 30770 - 12720
= $18050
Number of $50-seat tickets sold
= 18050 ÷ 50
= 361
Number of tickets sold
= 848 + 361
= 1209
Number of tickets left unsold
= 1908 - 1209
= 699
Answer(s): 699