The opera house had 1778 seats. There were 25% fewer $40-seats than $20-seats. 75% of the $20-seats and some $40-seats were sold. A total of $30160 was collected. How many seats were unsold?
|
$40 |
$20 |
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 = 1778
1 u = 1778 ÷ 7 = 254
Total number of $20-seat tickets
= 4 u
= 4 x 254
= 1016
Number of $20-seat tickets sold
= 75% x 1016
=
75100 x 1016
= 762
Amount collected from $20-seat tickets sold
= 762 x 20
= $15240
Amount collected from $40-seat tickets sold
= 30160 - 15240
= $14920
Number of $40-seat tickets sold
= 14920 ÷ 40
= 373
Number of tickets sold
= 762 + 373
= 1135
Number of tickets left unsold
= 1778 - 1135
= 643
Answer(s): 643