The theatre had 1113 seats. There were 25% fewer $45-seats than $5-seats. 75% of the $5-seats and some $45-seats were sold. A total of $19710 was collected. How many seats were unsold?
|
$45 |
$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 = 1113
1 u = 1113 ÷ 7 = 159
Total number of $5-seat tickets
= 4 u
= 4 x 159
= 636
Number of $5-seat tickets sold
= 75% x 636
=
75100 x 636
= 477
Amount collected from $5-seat tickets sold
= 477 x 5
= $2385
Amount collected from $45-seat tickets sold
= 19710 - 2385
= $17325
Number of $45-seat tickets sold
= 17325 ÷ 45
= 385
Number of tickets sold
= 477 + 385
= 862
Number of tickets left unsold
= 1113 - 862
= 251
Answer(s): 251