The theatre had 1029 seats. There were 25% fewer $35-seats than $5-seats. 75% of the $5-seats and some $35-seats were sold. A total of $17430 was collected. How many seats were unsold?
|
$35 |
$5 |
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 = 1029
1 u = 1029 ÷ 7 = 147
Total number of $5-seat tickets
= 4 u
= 4 x 147
= 588
Number of $5-seat tickets sold
= 75% x 588
=
75100 x 588
= 441
Amount collected from $5-seat tickets sold
= 441 x 5
= $2205
Amount collected from $35-seat tickets sold
= 17430 - 2205
= $15225
Number of $35-seat tickets sold
= 15225 ÷ 35
= 435
Number of tickets sold
= 441 + 435
= 876
Number of tickets left unsold
= 1029 - 876
= 153
Answer(s): 153