The opera house had 1280 seats. There were 40% fewer $40-seats than $10-seats. 75% of the $10-seats and some $40-seats were sold. A total of $19440 was collected. How many seats were unsold?
|
$40 |
$10 |
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 = 1280
1 u = 1280 ÷ 8 = 160
Total number of $10-seat tickets
= 5 u
= 5 x 160
= 800
Number of $10-seat tickets sold
= 75% x 800
=
75100 x 800
= 600
Amount collected from $10-seat tickets sold
= 600 x 10
= $6000
Amount collected from $40-seat tickets sold
= 19440 - 6000
= $13440
Number of $40-seat tickets sold
= 13440 ÷ 40
= 336
Number of tickets sold
= 600 + 336
= 936
Number of tickets left unsold
= 1280 - 936
= 344
Answer(s): 344