The opera house had 2120 seats. There were 40% fewer $30-seats than $20-seats. 60% of the $20-seats and some $30-seats were sold. A total of $29160 was collected. How many seats were unsold?
|
$30 |
$20 |
Total |
Number |
3 u |
5 u |
8 u |
100% - 40% = 60%
60100 =
35 Total number of seats
= 3 u + 5 u
= 8 u
8 u = 2120
1 u = 2120 ÷ 8 = 265
Total number of $20-seat tickets
= 5 u
= 5 x 265
= 1325
Number of $20-seat tickets sold
= 60% x 1325
=
60100 x 1325
= 795
Amount collected from $20-seat tickets sold
= 795 x 20
= $15900
Amount collected from $30-seat tickets sold
= 29160 - 15900
= $13260
Number of $30-seat tickets sold
= 13260 ÷ 30
= 442
Number of tickets sold
= 795 + 442
= 1237
Number of tickets left unsold
= 2120 - 1237
= 883
Answer(s): 883