The opera house had 1575 seats. There were 25% fewer $45-seats than $5-seats. 60% of the $5-seats and some $45-seats were sold. A total of $21825 was collected. How many seats were unsold?
|
$45 |
$5 |
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 = 1575
1 u = 1575 ÷ 7 = 225
Total number of $5-seat tickets
= 4 u
= 4 x 225
= 900
Number of $5-seat tickets sold
= 60% x 900
=
60100 x 900
= 540
Amount collected from $5-seat tickets sold
= 540 x 5
= $2700
Amount collected from $45-seat tickets sold
= 21825 - 2700
= $19125
Number of $45-seat tickets sold
= 19125 ÷ 45
= 425
Number of tickets sold
= 540 + 425
= 965
Number of tickets left unsold
= 1575 - 965
= 610
Answer(s): 610