The auditorium had 2072 seats. There were 40% fewer $25-seats than $15-seats. 80% of the $15-seats and some $25-seats were sold. A total of $26040 was collected. How many seats were unsold?
|
$25 |
$15 |
Total |
Number |
3 u |
5 u |
8 u |
100% - 40% = 60%
60100 =
35 Total number of seats
= 3 u + 5 u
= 8 u
8 u = 2072
1 u = 2072 ÷ 8 = 259
Total number of $15-seat tickets
= 5 u
= 5 x 259
= 1295
Number of $15-seat tickets sold
= 80% x 1295
=
80100 x 1295
= 1036
Amount collected from $15-seat tickets sold
= 1036 x 15
= $15540
Amount collected from $25-seat tickets sold
= 26040 - 15540
= $10500
Number of $25-seat tickets sold
= 10500 ÷ 25
= 420
Number of tickets sold
= 1036 + 420
= 1456
Number of tickets left unsold
= 2072 - 1456
= 616
Answer(s): 616