The opera house had 2124 seats. There were 20% fewer $35-seats than $10-seats. 75% of the $10-seats and some $35-seats were sold. A total of $20960 was collected. How many seats were unsold?
|
$35 |
$10 |
Total |
Number |
4 u |
5 u |
9 u |
100% - 20% = 80%
80100 =
45 Total number of seats
= 4 u + 5 u
= 9 u
9 u = 2124
1 u = 2124 ÷ 9 = 236
Total number of $10-seat tickets
= 5 u
= 5 x 236
= 1180
Number of $10-seat tickets sold
= 75% x 1180
=
75100 x 1180
= 885
Amount collected from $10-seat tickets sold
= 885 x 10
= $8850
Amount collected from $35-seat tickets sold
= 20960 - 8850
= $12110
Number of $35-seat tickets sold
= 12110 ÷ 35
= 346
Number of tickets sold
= 885 + 346
= 1231
Number of tickets left unsold
= 2124 - 1231
= 893
Answer(s): 893