The theatre had 1272 seats. There were 40% fewer $25-seats than $10-seats. 80% of the $10-seats and some $25-seats were sold. A total of $16160 was collected. How many seats were unsold?
|
$25 |
$10 |
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 = 1272
1 u = 1272 ÷ 8 = 159
Total number of $10-seat tickets
= 5 u
= 5 x 159
= 795
Number of $10-seat tickets sold
= 80% x 795
=
80100 x 795
= 636
Amount collected from $10-seat tickets sold
= 636 x 10
= $6360
Amount collected from $25-seat tickets sold
= 16160 - 6360
= $9800
Number of $25-seat tickets sold
= 9800 ÷ 25
= 392
Number of tickets sold
= 636 + 392
= 1028
Number of tickets left unsold
= 1272 - 1028
= 244
Answer(s): 244