The opera house had 2322 seats. There were 20% fewer $45-seats than $10-seats. 80% of the $10-seats and some $45-seats were sold. A total of $24855 was collected. How many seats were unsold?
|
$45 |
$10 |
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 = 2322
1 u = 2322 ÷ 9 = 258
Total number of $10-seat tickets
= 5 u
= 5 x 258
= 1290
Number of $10-seat tickets sold
= 80% x 1290
=
80100 x 1290
= 1032
Amount collected from $10-seat tickets sold
= 1032 x 10
= $10320
Amount collected from $45-seat tickets sold
= 24855 - 10320
= $14535
Number of $45-seat tickets sold
= 14535 ÷ 45
= 323
Number of tickets sold
= 1032 + 323
= 1355
Number of tickets left unsold
= 2322 - 1355
= 967
Answer(s): 967