The opera house had 800 seats. There were 40% fewer $25-seats than $15-seats. 80% of the $15-seats and some $25-seats were sold. A total of $14350 was collected. How many seats were unsold?
|
$25 |
$15 |
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 = 800
1 u = 800 ÷ 8 = 100
Total number of $15-seat tickets
= 5 u
= 5 x 100
= 500
Number of $15-seat tickets sold
= 80% x 500
=
80100 x 500
= 400
Amount collected from $15-seat tickets sold
= 400 x 15
= $6000
Amount collected from $25-seat tickets sold
= 14350 - 6000
= $8350
Number of $25-seat tickets sold
= 8350 ÷ 25
= 334
Number of tickets sold
= 400 + 334
= 734
Number of tickets left unsold
= 800 - 734
= 66
Answer(s): 66