The theatre had 1379 seats. There were 25% fewer $45-seats than $15-seats. 75% of the $15-seats and some $45-seats were sold. A total of $25605 was collected. How many seats were unsold?
|
$45 |
$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 = 1379
1 u = 1379 ÷ 7 = 197
Total number of $15-seat tickets
= 4 u
= 4 x 197
= 788
Number of $15-seat tickets sold
= 75% x 788
=
75100 x 788
= 591
Amount collected from $15-seat tickets sold
= 591 x 15
= $8865
Amount collected from $45-seat tickets sold
= 25605 - 8865
= $16740
Number of $45-seat tickets sold
= 16740 ÷ 45
= 372
Number of tickets sold
= 591 + 372
= 963
Number of tickets left unsold
= 1379 - 963
= 416
Answer(s): 416