The theatre had 1904 seats. There were 25% fewer $35-seats than $10-seats. 50% of the $10-seats and some $35-seats were sold. A total of $18810 was collected. How many seats were unsold?
|
$35 |
$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 = 1904
1 u = 1904 ÷ 7 = 272
Total number of $10-seat tickets
= 4 u
= 4 x 272
= 1088
Number of $10-seat tickets sold
= 50% x 1088
=
50100 x 1088
= 544
Amount collected from $10-seat tickets sold
= 544 x 10
= $5440
Amount collected from $35-seat tickets sold
= 18810 - 5440
= $13370
Number of $35-seat tickets sold
= 13370 ÷ 35
= 382
Number of tickets sold
= 544 + 382
= 926
Number of tickets left unsold
= 1904 - 926
= 978
Answer(s): 978