The drama centre had 1701 seats. There were 25% fewer $30-seats than $5-seats. 75% of the $5-seats and some $30-seats were sold. A total of $13005 was collected. How many seats were unsold?
|
$30 |
$5 |
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 = 1701
1 u = 1701 ÷ 7 = 243
Total number of $5-seat tickets
= 4 u
= 4 x 243
= 972
Number of $5-seat tickets sold
= 75% x 972
=
75100 x 972
= 729
Amount collected from $5-seat tickets sold
= 729 x 5
= $3645
Amount collected from $30-seat tickets sold
= 13005 - 3645
= $9360
Number of $30-seat tickets sold
= 9360 ÷ 30
= 312
Number of tickets sold
= 729 + 312
= 1041
Number of tickets left unsold
= 1701 - 1041
= 660
Answer(s): 660