The drama centre had 1280 seats. There were 40% fewer $45-seats than $5-seats. 80% of the $5-seats and some $45-seats were sold. A total of $17060 was collected. How many seats were unsold?
|
$45 |
$5 |
Total |
Number |
3 u |
5 u |
8 u |
100% - 40% = 60%
60100 =
35 Total number of seats
= 3 u + 5 u
= 8 u
8 u = 1280
1 u = 1280 ÷ 8 = 160
Total number of $5-seat tickets
= 5 u
= 5 x 160
= 800
Number of $5-seat tickets sold
= 80% x 800
=
80100 x 800
= 640
Amount collected from $5-seat tickets sold
= 640 x 5
= $3200
Amount collected from $45-seat tickets sold
= 17060 - 3200
= $13860
Number of $45-seat tickets sold
= 13860 ÷ 45
= 308
Number of tickets sold
= 640 + 308
= 948
Number of tickets left unsold
= 1280 - 948
= 332
Answer(s): 332