The auditorium had 1017 seats. There were 20% fewer $35-seats than $10-seats. 60% of the $10-seats and some $35-seats were sold. A total of $18125 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 = 1017
1 u = 1017 ÷ 9 = 113
Total number of $10-seat tickets
= 5 u
= 5 x 113
= 565
Number of $10-seat tickets sold
= 60% x 565
=
60100 x 565
= 339
Amount collected from $10-seat tickets sold
= 339 x 10
= $3390
Amount collected from $35-seat tickets sold
= 18125 - 3390
= $14735
Number of $35-seat tickets sold
= 14735 ÷ 35
= 421
Number of tickets sold
= 339 + 421
= 760
Number of tickets left unsold
= 1017 - 760
= 257
Answer(s): 257