The theatre had 2088 seats. There were 40% fewer $40-seats than $5-seats. 80% of the $5-seats and some $40-seats were sold. A total of $19700 was collected. How many seats were unsold?
|
$40 |
$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 = 2088
1 u = 2088 ÷ 8 = 261
Total number of $5-seat tickets
= 5 u
= 5 x 261
= 1305
Number of $5-seat tickets sold
= 80% x 1305
=
80100 x 1305
= 1044
Amount collected from $5-seat tickets sold
= 1044 x 5
= $5220
Amount collected from $40-seat tickets sold
= 19700 - 5220
= $14480
Number of $40-seat tickets sold
= 14480 ÷ 40
= 362
Number of tickets sold
= 1044 + 362
= 1406
Number of tickets left unsold
= 2088 - 1406
= 682
Answer(s): 682