The opera house had 1768 seats. There were 40% fewer $25-seats than $15-seats. 60% of the $15-seats and some $25-seats were sold. A total of $18770 was collected. How many seats were unsold?
|
$25 |
$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 = 1768
1 u = 1768 ÷ 8 = 221
Total number of $15-seat tickets
= 5 u
= 5 x 221
= 1105
Number of $15-seat tickets sold
= 60% x 1105
=
60100 x 1105
= 663
Amount collected from $15-seat tickets sold
= 663 x 15
= $9945
Amount collected from $25-seat tickets sold
= 18770 - 9945
= $8825
Number of $25-seat tickets sold
= 8825 ÷ 25
= 353
Number of tickets sold
= 663 + 353
= 1016
Number of tickets left unsold
= 1768 - 1016
= 752
Answer(s): 752