The theatre had 1421 seats. There were 25% fewer $45-seats than $10-seats. 75% of the $10-seats and some $45-seats were sold. A total of $24675 was collected. How many seats were unsold?
|
$45 |
$10 |
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 = 1421
1 u = 1421 ÷ 7 = 203
Total number of $10-seat tickets
= 4 u
= 4 x 203
= 812
Number of $10-seat tickets sold
= 75% x 812
=
75100 x 812
= 609
Amount collected from $10-seat tickets sold
= 609 x 10
= $6090
Amount collected from $45-seat tickets sold
= 24675 - 6090
= $18585
Number of $45-seat tickets sold
= 18585 ÷ 45
= 413
Number of tickets sold
= 609 + 413
= 1022
Number of tickets left unsold
= 1421 - 1022
= 399
Answer(s): 399