The theatre had 2070 seats. There were 20% fewer $35-seats than $15-seats. 80% of the $15-seats and some $35-seats were sold. A total of $30600 was collected. How many seats were unsold?
|
$35 |
$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 = 2070
1 u = 2070 ÷ 9 = 230
Total number of $15-seat tickets
= 5 u
= 5 x 230
= 1150
Number of $15-seat tickets sold
= 80% x 1150
=
80100 x 1150
= 920
Amount collected from $15-seat tickets sold
= 920 x 15
= $13800
Amount collected from $35-seat tickets sold
= 30600 - 13800
= $16800
Number of $35-seat tickets sold
= 16800 ÷ 35
= 480
Number of tickets sold
= 920 + 480
= 1400
Number of tickets left unsold
= 2070 - 1400
= 670
Answer(s): 670