The theatre had 1701 seats. There were 25% fewer $25-seats than $15-seats. 75% of the $15-seats and some $25-seats were sold. A total of $23085 was collected. How many seats were unsold?
|
$25 |
$15 |
Total |
Number |
3 u |
4 u |
7 u |
100% - 25% = 75%
75100 =
34 Total number of seats
= 3 u + 4 u
= 7 u
7 u = 1701
1 u = 1701 ÷ 7 = 243
Total number of $15-seat tickets
= 4 u
= 4 x 243
= 972
Number of $15-seat tickets sold
= 75% x 972
=
75100 x 972
= 729
Amount collected from $15-seat tickets sold
= 729 x 15
= $10935
Amount collected from $25-seat tickets sold
= 23085 - 10935
= $12150
Number of $25-seat tickets sold
= 12150 ÷ 25
= 486
Number of tickets sold
= 729 + 486
= 1215
Number of tickets left unsold
= 1701 - 1215
= 486
Answer(s): 486