The opera house had 1659 seats. There were 25% fewer $45-seats than $15-seats. 50% of the $15-seats and some $45-seats were sold. A total of $27360 was collected. How many seats were unsold?
|
$45 |
$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 = 1659
1 u = 1659 ÷ 7 = 237
Total number of $15-seat tickets
= 4 u
= 4 x 237
= 948
Number of $15-seat tickets sold
= 50% x 948
=
50100 x 948
= 474
Amount collected from $15-seat tickets sold
= 474 x 15
= $7110
Amount collected from $45-seat tickets sold
= 27360 - 7110
= $20250
Number of $45-seat tickets sold
= 20250 ÷ 45
= 450
Number of tickets sold
= 474 + 450
= 924
Number of tickets left unsold
= 1659 - 924
= 735
Answer(s): 735