The auditorium had 875 seats. There were 25% fewer $30-seats than $10-seats. 60% of the $10-seats and some $30-seats were sold. A total of $14130 was collected. How many seats were unsold?
|
$30 |
$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 = 875
1 u = 875 ÷ 7 = 125
Total number of $10-seat tickets
= 4 u
= 4 x 125
= 500
Number of $10-seat tickets sold
= 60% x 500
=
60100 x 500
= 300
Amount collected from $10-seat tickets sold
= 300 x 10
= $3000
Amount collected from $30-seat tickets sold
= 14130 - 3000
= $11130
Number of $30-seat tickets sold
= 11130 ÷ 30
= 371
Number of tickets sold
= 300 + 371
= 671
Number of tickets left unsold
= 875 - 671
= 204
Answer(s): 204