The auditorium had 800 seats. There were 40% fewer $30-seats than $15-seats. 75% of the $15-seats and some $30-seats were sold. A total of $19275 was collected. How many seats were unsold?
|
$30 |
$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
= 75% x 500
=
75100 x 500
= 375
Amount collected from $15-seat tickets sold
= 375 x 15
= $5625
Amount collected from $30-seat tickets sold
= 19275 - 5625
= $13650
Number of $30-seat tickets sold
= 13650 ÷ 30
= 455
Number of tickets sold
= 375 + 455
= 830
Number of tickets left unsold
= 800 - 830
= -30
Answer(s): -30