The theatre had 840 seats. There were 25% fewer $25-seats than $10-seats. 80% of the $10-seats and some $25-seats were sold. A total of $13690 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 = 840
1 u = 840 ÷ 7 = 120
Total number of $10-seat tickets
= 4 u
= 4 x 120
= 480
Number of $10-seat tickets sold
= 80% x 480
=
80100 x 480
= 384
Amount collected from $10-seat tickets sold
= 384 x 10
= $3840
Amount collected from $25-seat tickets sold
= 13690 - 3840
= $9850
Number of $25-seat tickets sold
= 9850 ÷ 25
= 394
Number of tickets sold
= 384 + 394
= 778
Number of tickets left unsold
= 840 - 778
= 62
Answer(s): 62