The opera house had 2100 seats. There were 25% fewer $45-seats than $10-seats. 50% of the $10-seats and some $45-seats were sold. A total of $21750 was collected. How many seats were unsold?
|
$45 |
$10 |
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 = 2100
1 u = 2100 ÷ 7 = 300
Total number of $10-seat tickets
= 4 u
= 4 x 300
= 1200
Number of $10-seat tickets sold
= 50% x 1200
=
50100 x 1200
= 600
Amount collected from $10-seat tickets sold
= 600 x 10
= $6000
Amount collected from $45-seat tickets sold
= 21750 - 6000
= $15750
Number of $45-seat tickets sold
= 15750 ÷ 45
= 350
Number of tickets sold
= 600 + 350
= 950
Number of tickets left unsold
= 2100 - 950
= 1150
Answer(s): 1150