The opera house had 1981 seats. There were 25% fewer $45-seats than $5-seats. 50% of the $5-seats and some $45-seats were sold. A total of $23215 was collected. How many seats were unsold?
|
$45 |
$5 |
Total |
Number |
3 u |
4 u |
7 u |
100% - 25% = 75%
75100 =
34 Total number of seats
= 3 u + 4 u
= 7 u
7 u = 1981
1 u = 1981 ÷ 7 = 283
Total number of $5-seat tickets
= 4 u
= 4 x 283
= 1132
Number of $5-seat tickets sold
= 50% x 1132
=
50100 x 1132
= 566
Amount collected from $5-seat tickets sold
= 566 x 5
= $2830
Amount collected from $45-seat tickets sold
= 23215 - 2830
= $20385
Number of $45-seat tickets sold
= 20385 ÷ 45
= 453
Number of tickets sold
= 566 + 453
= 1019
Number of tickets left unsold
= 1981 - 1019
= 962
Answer(s): 962