The opera house had 2691 seats. There were 20% fewer $25-seats than $20-seats. 60% of the $20-seats and some $25-seats were sold. A total of $28315 was collected. How many seats were unsold?
|
$25 |
$20 |
Total |
Number |
4 u |
5 u |
9 u |
100% - 20% = 80%
80100 =
45 Total number of seats
= 4 u + 5 u
= 9 u
9 u = 2691
1 u = 2691 ÷ 9 = 299
Total number of $20-seat tickets
= 5 u
= 5 x 299
= 1495
Number of $20-seat tickets sold
= 60% x 1495
=
60100 x 1495
= 897
Amount collected from $20-seat tickets sold
= 897 x 20
= $17940
Amount collected from $25-seat tickets sold
= 28315 - 17940
= $10375
Number of $25-seat tickets sold
= 10375 ÷ 25
= 415
Number of tickets sold
= 897 + 415
= 1312
Number of tickets left unsold
= 2691 - 1312
= 1379
Answer(s): 1379