The opera house had 1477 seats. There were 25% fewer $30-seats than $15-seats. 75% of the $15-seats and some $30-seats were sold. A total of $21735 was collected. How many seats were unsold?
|
$30 |
$15 |
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 = 1477
1 u = 1477 ÷ 7 = 211
Total number of $15-seat tickets
= 4 u
= 4 x 211
= 844
Number of $15-seat tickets sold
= 75% x 844
=
75100 x 844
= 633
Amount collected from $15-seat tickets sold
= 633 x 15
= $9495
Amount collected from $30-seat tickets sold
= 21735 - 9495
= $12240
Number of $30-seat tickets sold
= 12240 ÷ 30
= 408
Number of tickets sold
= 633 + 408
= 1041
Number of tickets left unsold
= 1477 - 1041
= 436
Answer(s): 436