The theatre had 2168 seats. There were 40% fewer $50-seats than $5-seats. 60% of the $5-seats and some $50-seats were sold. A total of $23515 was collected. How many seats were unsold?
|
$50 |
$5 |
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 = 2168
1 u = 2168 ÷ 8 = 271
Total number of $5-seat tickets
= 5 u
= 5 x 271
= 1355
Number of $5-seat tickets sold
= 60% x 1355
=
60100 x 1355
= 813
Amount collected from $5-seat tickets sold
= 813 x 5
= $4065
Amount collected from $50-seat tickets sold
= 23515 - 4065
= $19450
Number of $50-seat tickets sold
= 19450 ÷ 50
= 389
Number of tickets sold
= 813 + 389
= 1202
Number of tickets left unsold
= 2168 - 1202
= 966
Answer(s): 966