The drama centre had 1526 seats. There were 25% fewer $45-seats than $20-seats. 75% of the $20-seats and some $45-seats were sold. A total of $33015 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 = 1526
1 u = 1526 ÷ 7 = 218
Total number of $20-seat tickets
= 4 u
= 4 x 218
= 872
Number of $20-seat tickets sold
= 75% x 872
=
75100 x 872
= 654
Amount collected from $20-seat tickets sold
= 654 x 20
= $13080
Amount collected from $45-seat tickets sold
= 33015 - 13080
= $19935
Number of $45-seat tickets sold
= 19935 ÷ 45
= 443
Number of tickets sold
= 654 + 443
= 1097
Number of tickets left unsold
= 1526 - 1097
= 429
Answer(s): 429