The auditorium had 980 seats. There were 25% fewer $35-seats than $20-seats. 80% of the $20-seats and some $35-seats were sold. A total of $25445 was collected. How many seats were unsold?
|
$35 |
$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 = 980
1 u = 980 ÷ 7 = 140
Total number of $20-seat tickets
= 4 u
= 4 x 140
= 560
Number of $20-seat tickets sold
= 80% x 560
=
80100 x 560
= 448
Amount collected from $20-seat tickets sold
= 448 x 20
= $8960
Amount collected from $35-seat tickets sold
= 25445 - 8960
= $16485
Number of $35-seat tickets sold
= 16485 ÷ 35
= 471
Number of tickets sold
= 448 + 471
= 919
Number of tickets left unsold
= 980 - 919
= 61
Answer(s): 61