The opera house had 2151 seats. There were 20% fewer $25-seats than $10-seats. 80% of the $10-seats and some $25-seats were sold. A total of $18485 was collected. How many seats were unsold?
|
$25 |
$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 = 2151
1 u = 2151 ÷ 9 = 239
Total number of $10-seat tickets
= 5 u
= 5 x 239
= 1195
Number of $10-seat tickets sold
= 80% x 1195
=
80100 x 1195
= 956
Amount collected from $10-seat tickets sold
= 956 x 10
= $9560
Amount collected from $25-seat tickets sold
= 18485 - 9560
= $8925
Number of $25-seat tickets sold
= 8925 ÷ 25
= 357
Number of tickets sold
= 956 + 357
= 1313
Number of tickets left unsold
= 2151 - 1313
= 838
Answer(s): 838