Answer: 8 orchestra seats and 6 mezzanine seats.
Step-by-step explanation:
Let be "o" the number of orchestra seats they bought and "m" the number of mezzanine seats they bought.
Set up a system of equations:

You can apply the Substittution Method to solve the system of equations:
1. Solve for "o" from the second equation:

2. Substitute it into the first equation and solve for "m":

3. Substitute the value of "m" into
and evaluate, in order to find the value of "o". This is:

The area of the sector is 472.6 ft²
<h3>Area of a Sector</h3>
For finding the area of the sector, you need apply the formula:
, where:
r= radius
α= central angle
The question gives:
r= radius= 19 ft
α= central angle = 150°
Thus, the area of the sector will be:

Read more about the area of a sector here:
brainly.com/question/22972014
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Answer:
36 since they are similer triangles
Longer process:
24/24 = 36/x
solve this and you get 36