The opera house had 1056 seats. There were 40% fewer $45-seats than $10-seats. 50% of the $10-seats and some $45-seats were sold. A total of $21030 was collected. How many seats were unsold?
|
$45 |
$10 |
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 = 1056
1 u = 1056 ÷ 8 = 132
Total number of $10-seat tickets
= 5 u
= 5 x 132
= 660
Number of $10-seat tickets sold
= 50% x 660
=
50100 x 660
= 330
Amount collected from $10-seat tickets sold
= 330 x 10
= $3300
Amount collected from $45-seat tickets sold
= 21030 - 3300
= $17730
Number of $45-seat tickets sold
= 17730 ÷ 45
= 394
Number of tickets sold
= 330 + 394
= 724
Number of tickets left unsold
= 1056 - 724
= 332
Answer(s): 332