The auditorium had 2240 seats. There were 40% fewer $50-seats than $15-seats. 80% of the $15-seats and some $50-seats were sold. A total of $32700 was collected. How many seats were unsold?
|
$50 |
$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 = 2240
1 u = 2240 ÷ 8 = 280
Total number of $15-seat tickets
= 5 u
= 5 x 280
= 1400
Number of $15-seat tickets sold
= 80% x 1400
=
80100 x 1400
= 1120
Amount collected from $15-seat tickets sold
= 1120 x 15
= $16800
Amount collected from $50-seat tickets sold
= 32700 - 16800
= $15900
Number of $50-seat tickets sold
= 15900 ÷ 50
= 318
Number of tickets sold
= 1120 + 318
= 1438
Number of tickets left unsold
= 2240 - 1438
= 802
Answer(s): 802