The auditorium had 1035 seats. There were 20% fewer $50-seats than $20-seats. 80% of the $20-seats and some $50-seats were sold. A total of $26450 was collected. How many seats were unsold?
|
$50 |
$20 |
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 = 1035
1 u = 1035 ÷ 9 = 115
Total number of $20-seat tickets
= 5 u
= 5 x 115
= 575
Number of $20-seat tickets sold
= 80% x 575
=
80100 x 575
= 460
Amount collected from $20-seat tickets sold
= 460 x 20
= $9200
Amount collected from $50-seat tickets sold
= 26450 - 9200
= $17250
Number of $50-seat tickets sold
= 17250 ÷ 50
= 345
Number of tickets sold
= 460 + 345
= 805
Number of tickets left unsold
= 1035 - 805
= 230
Answer(s): 230