The auditorium had 700 seats. There were 25% fewer $35-seats than $20-seats. 80% of the $20-seats and some $35-seats were sold. A total of $19280 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 = 700
1 u = 700 ÷ 7 = 100
Total number of $20-seat tickets
= 4 u
= 4 x 100
= 400
Number of $20-seat tickets sold
= 80% x 400
=
80100 x 400
= 320
Amount collected from $20-seat tickets sold
= 320 x 20
= $6400
Amount collected from $35-seat tickets sold
= 19280 - 6400
= $12880
Number of $35-seat tickets sold
= 12880 ÷ 35
= 368
Number of tickets sold
= 320 + 368
= 688
Number of tickets left unsold
= 700 - 688
= 12
Answer(s): 12