The auditorium had 1386 seats. There were 25% fewer $50-seats than $20-seats. 50% of the $20-seats and some $50-seats were sold. A total of $23570 was collected. How many seats were unsold?
|
$50 |
$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 = 1386
1 u = 1386 ÷ 7 = 198
Total number of $20-seat tickets
= 4 u
= 4 x 198
= 792
Number of $20-seat tickets sold
= 50% x 792
=
50100 x 792
= 396
Amount collected from $20-seat tickets sold
= 396 x 20
= $7920
Amount collected from $50-seat tickets sold
= 23570 - 7920
= $15650
Number of $50-seat tickets sold
= 15650 ÷ 50
= 313
Number of tickets sold
= 396 + 313
= 709
Number of tickets left unsold
= 1386 - 709
= 677
Answer(s): 677