The theatre had 2574 seats. There were 20% fewer $35-seats than $10-seats. 60% of the $10-seats and some $35-seats were sold. A total of $24015 was collected. How many seats were unsold?
|
$35 |
$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 = 2574
1 u = 2574 ÷ 9 = 286
Total number of $10-seat tickets
= 5 u
= 5 x 286
= 1430
Number of $10-seat tickets sold
= 60% x 1430
=
60100 x 1430
= 858
Amount collected from $10-seat tickets sold
= 858 x 10
= $8580
Amount collected from $35-seat tickets sold
= 24015 - 8580
= $15435
Number of $35-seat tickets sold
= 15435 ÷ 35
= 441
Number of tickets sold
= 858 + 441
= 1299
Number of tickets left unsold
= 2574 - 1299
= 1275
Answer(s): 1275