The auditorium had 1603 seats. There were 25% fewer $25-seats than $10-seats. 50% of the $10-seats and some $25-seats were sold. A total of $15930 was collected. How many seats were unsold?
|
$25 |
$10 |
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 = 1603
1 u = 1603 ÷ 7 = 229
Total number of $10-seat tickets
= 4 u
= 4 x 229
= 916
Number of $10-seat tickets sold
= 50% x 916
=
50100 x 916
= 458
Amount collected from $10-seat tickets sold
= 458 x 10
= $4580
Amount collected from $25-seat tickets sold
= 15930 - 4580
= $11350
Number of $25-seat tickets sold
= 11350 ÷ 25
= 454
Number of tickets sold
= 458 + 454
= 912
Number of tickets left unsold
= 1603 - 912
= 691
Answer(s): 691