The auditorium had 976 seats. There were 40% fewer $35-seats than $10-seats. 60% of the $10-seats and some $35-seats were sold. A total of $14370 was collected. How many seats were unsold?
|
$35 |
$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 = 976
1 u = 976 ÷ 8 = 122
Total number of $10-seat tickets
= 5 u
= 5 x 122
= 610
Number of $10-seat tickets sold
= 60% x 610
=
60100 x 610
= 366
Amount collected from $10-seat tickets sold
= 366 x 10
= $3660
Amount collected from $35-seat tickets sold
= 14370 - 3660
= $10710
Number of $35-seat tickets sold
= 10710 ÷ 35
= 306
Number of tickets sold
= 366 + 306
= 672
Number of tickets left unsold
= 976 - 672
= 304
Answer(s): 304