The opera house had 987 seats. There were 25% fewer $25-seats than $10-seats. 75% of the $10-seats and some $25-seats were sold. A total of $15330 was collected. How many seats were unsold?
|
$25 |
$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 = 987
1 u = 987 ÷ 7 = 141
Total number of $10-seat tickets
= 4 u
= 4 x 141
= 564
Number of $10-seat tickets sold
= 75% x 564
=
75100 x 564
= 423
Amount collected from $10-seat tickets sold
= 423 x 10
= $4230
Amount collected from $25-seat tickets sold
= 15330 - 4230
= $11100
Number of $25-seat tickets sold
= 11100 ÷ 25
= 444
Number of tickets sold
= 423 + 444
= 867
Number of tickets left unsold
= 987 - 867
= 120
Answer(s): 120