The auditorium had 1008 seats. There were 40% fewer $50-seats than $20-seats. 60% of the $20-seats and some $50-seats were sold. A total of $28060 was collected. How many seats were unsold?
|
$50 |
$20 |
Total |
Number |
3 u |
5 u |
8 u |
100% - 40% = 60%
60100 =
35 Total number of seats
= 3 u + 5 u
= 8 u
8 u = 1008
1 u = 1008 ÷ 8 = 126
Total number of $20-seat tickets
= 5 u
= 5 x 126
= 630
Number of $20-seat tickets sold
= 60% x 630
=
60100 x 630
= 378
Amount collected from $20-seat tickets sold
= 378 x 20
= $7560
Amount collected from $50-seat tickets sold
= 28060 - 7560
= $20500
Number of $50-seat tickets sold
= 20500 ÷ 50
= 410
Number of tickets sold
= 378 + 410
= 788
Number of tickets left unsold
= 1008 - 788
= 220
Answer(s): 220