The theatre had 2152 seats. There were 40% fewer $30-seats than $5-seats. 60% of the $5-seats and some $30-seats were sold. A total of $16935 was collected. How many seats were unsold?
|
$30 |
$5 |
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 = 2152
1 u = 2152 ÷ 8 = 269
Total number of $5-seat tickets
= 5 u
= 5 x 269
= 1345
Number of $5-seat tickets sold
= 60% x 1345
=
60100 x 1345
= 807
Amount collected from $5-seat tickets sold
= 807 x 5
= $4035
Amount collected from $30-seat tickets sold
= 16935 - 4035
= $12900
Number of $30-seat tickets sold
= 12900 ÷ 30
= 430
Number of tickets sold
= 807 + 430
= 1237
Number of tickets left unsold
= 2152 - 1237
= 915
Answer(s): 915