The theatre had 756 seats. There were 25% fewer $45-seats than $20-seats. 75% of the $20-seats and some $45-seats were sold. A total of $25245 was collected. How many seats were unsold?
|
$45 |
$20 |
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 = 756
1 u = 756 ÷ 7 = 108
Total number of $20-seat tickets
= 4 u
= 4 x 108
= 432
Number of $20-seat tickets sold
= 75% x 432
=
75100 x 432
= 324
Amount collected from $20-seat tickets sold
= 324 x 20
= $6480
Amount collected from $45-seat tickets sold
= 25245 - 6480
= $18765
Number of $45-seat tickets sold
= 18765 ÷ 45
= 417
Number of tickets sold
= 324 + 417
= 741
Number of tickets left unsold
= 756 - 741
= 15
Answer(s): 15