The auditorium had 777 seats. There were 25% fewer $35-seats than $10-seats. 75% of the $10-seats and some $35-seats were sold. A total of $17995 was collected. How many seats were unsold?
|
$35 |
$10 |
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 = 777
1 u = 777 ÷ 7 = 111
Total number of $10-seat tickets
= 4 u
= 4 x 111
= 444
Number of $10-seat tickets sold
= 75% x 444
=
75100 x 444
= 333
Amount collected from $10-seat tickets sold
= 333 x 10
= $3330
Amount collected from $35-seat tickets sold
= 17995 - 3330
= $14665
Number of $35-seat tickets sold
= 14665 ÷ 35
= 419
Number of tickets sold
= 333 + 419
= 752
Number of tickets left unsold
= 777 - 752
= 25
Answer(s): 25