The opera house had 2133 seats. There were 20% fewer $25-seats than $15-seats. 80% of the $15-seats and some $25-seats were sold. A total of $25220 was collected. How many seats were unsold?
|
$25 |
$15 |
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 = 2133
1 u = 2133 ÷ 9 = 237
Total number of $15-seat tickets
= 5 u
= 5 x 237
= 1185
Number of $15-seat tickets sold
= 80% x 1185
=
80100 x 1185
= 948
Amount collected from $15-seat tickets sold
= 948 x 15
= $14220
Amount collected from $25-seat tickets sold
= 25220 - 14220
= $11000
Number of $25-seat tickets sold
= 11000 ÷ 25
= 440
Number of tickets sold
= 948 + 440
= 1388
Number of tickets left unsold
= 2133 - 1388
= 745
Answer(s): 745