The theatre had 1106 seats. There were 25% fewer $35-seats than $5-seats. 50% of the $5-seats and some $35-seats were sold. A total of $13480 was collected. How many seats were unsold?
|
$35 |
$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 = 1106
1 u = 1106 ÷ 7 = 158
Total number of $5-seat tickets
= 4 u
= 4 x 158
= 632
Number of $5-seat tickets sold
= 50% x 632
=
50100 x 632
= 316
Amount collected from $5-seat tickets sold
= 316 x 5
= $1580
Amount collected from $35-seat tickets sold
= 13480 - 1580
= $11900
Number of $35-seat tickets sold
= 11900 ÷ 35
= 340
Number of tickets sold
= 316 + 340
= 656
Number of tickets left unsold
= 1106 - 656
= 450
Answer(s): 450