The opera house had 1632 seats. There were 40% fewer $35-seats than $15-seats. 50% of the $15-seats and some $35-seats were sold. A total of $19935 was collected. How many seats were unsold?
|
$35 |
$15 |
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 = 1632
1 u = 1632 ÷ 8 = 204
Total number of $15-seat tickets
= 5 u
= 5 x 204
= 1020
Number of $15-seat tickets sold
= 50% x 1020
=
50100 x 1020
= 510
Amount collected from $15-seat tickets sold
= 510 x 15
= $7650
Amount collected from $35-seat tickets sold
= 19935 - 7650
= $12285
Number of $35-seat tickets sold
= 12285 ÷ 35
= 351
Number of tickets sold
= 510 + 351
= 861
Number of tickets left unsold
= 1632 - 861
= 771
Answer(s): 771