The theatre had 1981 seats. There were 25% fewer $50-seats than $5-seats. 50% of the $5-seats and some $50-seats were sold. A total of $27480 was collected. How many seats were unsold?
|
$50 |
$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 = 1981
1 u = 1981 ÷ 7 = 283
Total number of $5-seat tickets
= 4 u
= 4 x 283
= 1132
Number of $5-seat tickets sold
= 50% x 1132
=
50100 x 1132
= 566
Amount collected from $5-seat tickets sold
= 566 x 5
= $2830
Amount collected from $50-seat tickets sold
= 27480 - 2830
= $24650
Number of $50-seat tickets sold
= 24650 ÷ 50
= 493
Number of tickets sold
= 566 + 493
= 1059
Number of tickets left unsold
= 1981 - 1059
= 922
Answer(s): 922