The opera house had 1120 seats. There were 40% fewer $30-seats than $20-seats. 80% of the $20-seats and some $30-seats were sold. A total of $20230 was collected. How many seats were unsold?
|
$30 |
$20 |
Total |
Number |
3 u |
5 u |
8 u |
100% - 40% = 60%
60100 =
35 Total number of seats
= 3 u + 5 u
= 8 u
8 u = 1120
1 u = 1120 ÷ 8 = 140
Total number of $20-seat tickets
= 5 u
= 5 x 140
= 700
Number of $20-seat tickets sold
= 80% x 700
=
80100 x 700
= 560
Amount collected from $20-seat tickets sold
= 560 x 20
= $11200
Amount collected from $30-seat tickets sold
= 20230 - 11200
= $9030
Number of $30-seat tickets sold
= 9030 ÷ 30
= 301
Number of tickets sold
= 560 + 301
= 861
Number of tickets left unsold
= 1120 - 861
= 259
Answer(s): 259