The drama centre had 1855 seats. There were 25% fewer $40-seats than $20-seats. 75% of the $20-seats and some $40-seats were sold. A total of $35660 was collected. How many seats were unsold?
|
$40 |
$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 = 1855
1 u = 1855 ÷ 7 = 265
Total number of $20-seat tickets
= 4 u
= 4 x 265
= 1060
Number of $20-seat tickets sold
= 75% x 1060
=
75100 x 1060
= 795
Amount collected from $20-seat tickets sold
= 795 x 20
= $15900
Amount collected from $40-seat tickets sold
= 35660 - 15900
= $19760
Number of $40-seat tickets sold
= 19760 ÷ 40
= 494
Number of tickets sold
= 795 + 494
= 1289
Number of tickets left unsold
= 1855 - 1289
= 566
Answer(s): 566