The theatre had 2106 seats. There were 20% fewer $50-seats than $5-seats. 50% of the $5-seats and some $50-seats were sold. A total of $21875 was collected. How many seats were unsold?
|
$50 |
$5 |
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 = 2106
1 u = 2106 ÷ 9 = 234
Total number of $5-seat tickets
= 5 u
= 5 x 234
= 1170
Number of $5-seat tickets sold
= 50% x 1170
=
50100 x 1170
= 585
Amount collected from $5-seat tickets sold
= 585 x 5
= $2925
Amount collected from $50-seat tickets sold
= 21875 - 2925
= $18950
Number of $50-seat tickets sold
= 18950 ÷ 50
= 379
Number of tickets sold
= 585 + 379
= 964
Number of tickets left unsold
= 2106 - 964
= 1142
Answer(s): 1142