The drama centre had 777 seats. There were 25% fewer $40-seats than $10-seats. 50% of the $10-seats and some $40-seats were sold. A total of $16940 was collected. How many seats were unsold?
|
$40 |
$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 = 777
1 u = 777 ÷ 7 = 111
Total number of $10-seat tickets
= 4 u
= 4 x 111
= 444
Number of $10-seat tickets sold
= 50% x 444
=
50100 x 444
= 222
Amount collected from $10-seat tickets sold
= 222 x 10
= $2220
Amount collected from $40-seat tickets sold
= 16940 - 2220
= $14720
Number of $40-seat tickets sold
= 14720 ÷ 40
= 368
Number of tickets sold
= 222 + 368
= 590
Number of tickets left unsold
= 777 - 590
= 187
Answer(s): 187