The drama centre had 1834 seats. There were 25% fewer $50-seats than $5-seats. 75% of the $5-seats and some $50-seats were sold. A total of $28680 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 = 1834
1 u = 1834 ÷ 7 = 262
Total number of $5-seat tickets
= 4 u
= 4 x 262
= 1048
Number of $5-seat tickets sold
= 75% x 1048
=
75100 x 1048
= 786
Amount collected from $5-seat tickets sold
= 786 x 5
= $3930
Amount collected from $50-seat tickets sold
= 28680 - 3930
= $24750
Number of $50-seat tickets sold
= 24750 ÷ 50
= 495
Number of tickets sold
= 786 + 495
= 1281
Number of tickets left unsold
= 1834 - 1281
= 553
Answer(s): 553