The drama centre had 1358 seats. There were 25% fewer $50-seats than $5-seats. 75% of the $5-seats and some $50-seats were sold. A total of $27360 was collected. How many seats were unsold?
|
$50 |
$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 = 1358
1 u = 1358 ÷ 7 = 194
Total number of $5-seat tickets
= 4 u
= 4 x 194
= 776
Number of $5-seat tickets sold
= 75% x 776
=
75100 x 776
= 582
Amount collected from $5-seat tickets sold
= 582 x 5
= $2910
Amount collected from $50-seat tickets sold
= 27360 - 2910
= $24450
Number of $50-seat tickets sold
= 24450 ÷ 50
= 489
Number of tickets sold
= 582 + 489
= 1071
Number of tickets left unsold
= 1358 - 1071
= 287
Answer(s): 287