The opera house had 1757 seats. There were 25% fewer $40-seats than $5-seats. 75% of the $5-seats and some $40-seats were sold. A total of $22845 was collected. How many seats were unsold?
|
$40 |
$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 = 1757
1 u = 1757 ÷ 7 = 251
Total number of $5-seat tickets
= 4 u
= 4 x 251
= 1004
Number of $5-seat tickets sold
= 75% x 1004
=
75100 x 1004
= 753
Amount collected from $5-seat tickets sold
= 753 x 5
= $3765
Amount collected from $40-seat tickets sold
= 22845 - 3765
= $19080
Number of $40-seat tickets sold
= 19080 ÷ 40
= 477
Number of tickets sold
= 753 + 477
= 1230
Number of tickets left unsold
= 1757 - 1230
= 527
Answer(s): 527