The theatre had 889 seats. There were 25% fewer $50-seats than $15-seats. 50% of the $15-seats and some $50-seats were sold. A total of $25010 was collected. How many seats were unsold?
|
$50 |
$15 |
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 = 889
1 u = 889 ÷ 7 = 127
Total number of $15-seat tickets
= 4 u
= 4 x 127
= 508
Number of $15-seat tickets sold
= 50% x 508
=
50100 x 508
= 254
Amount collected from $15-seat tickets sold
= 254 x 15
= $3810
Amount collected from $50-seat tickets sold
= 25010 - 3810
= $21200
Number of $50-seat tickets sold
= 21200 ÷ 50
= 424
Number of tickets sold
= 254 + 424
= 678
Number of tickets left unsold
= 889 - 678
= 211
Answer(s): 211