The opera house had 1435 seats. There were 25% fewer $25-seats than $15-seats. 75% of the $15-seats and some $25-seats were sold. A total of $21700 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 = 1435
1 u = 1435 ÷ 7 = 205
Total number of $15-seat tickets
= 4 u
= 4 x 205
= 820
Number of $15-seat tickets sold
= 75% x 820
=
75100 x 820
= 615
Amount collected from $15-seat tickets sold
= 615 x 15
= $9225
Amount collected from $25-seat tickets sold
= 21700 - 9225
= $12475
Number of $25-seat tickets sold
= 12475 ÷ 25
= 499
Number of tickets sold
= 615 + 499
= 1114
Number of tickets left unsold
= 1435 - 1114
= 321
Answer(s): 321