The opera house had 1589 seats. There were 25% fewer $40-seats than $10-seats. 75% of the $10-seats and some $40-seats were sold. A total of $19610 was collected. How many seats were unsold?
|
$40 |
$10 |
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 = 1589
1 u = 1589 ÷ 7 = 227
Total number of $10-seat tickets
= 4 u
= 4 x 227
= 908
Number of $10-seat tickets sold
= 75% x 908
=
75100 x 908
= 681
Amount collected from $10-seat tickets sold
= 681 x 10
= $6810
Amount collected from $40-seat tickets sold
= 19610 - 6810
= $12800
Number of $40-seat tickets sold
= 12800 ÷ 40
= 320
Number of tickets sold
= 681 + 320
= 1001
Number of tickets left unsold
= 1589 - 1001
= 588
Answer(s): 588