The auditorium had 1876 seats. There were 25% fewer $50-seats than $15-seats. 75% of the $15-seats and some $50-seats were sold. A total of $31160 was collected. How many seats were unsold?
|
$50 |
$15 |
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 = 1876
1 u = 1876 ÷ 7 = 268
Total number of $15-seat tickets
= 4 u
= 4 x 268
= 1072
Number of $15-seat tickets sold
= 75% x 1072
=
75100 x 1072
= 804
Amount collected from $15-seat tickets sold
= 804 x 15
= $12060
Amount collected from $50-seat tickets sold
= 31160 - 12060
= $19100
Number of $50-seat tickets sold
= 19100 ÷ 50
= 382
Number of tickets sold
= 804 + 382
= 1186
Number of tickets left unsold
= 1876 - 1186
= 690
Answer(s): 690