Answer:
Age 1-NO
Age 2-NO
Age 3-NO
Age 4-NO
Age 5-NO
Age 6-NO
Age 7-NO
Age 8-NO
Age 9-NO
Age 10-NO
Age 11-maybe probably not
Age 12-maybe probably not
Age 13-maybe probably not
Age 14-kinda
Age 15-kinda
Age 16-starting to know more
Age 17-starting to know more
Age 18-pretty sure
Age 19-pretty sure
Age 20-yes
x = # of balcony seats
y = # of orchestra seats
We have to create a system of equations to solve this problem
x + y = 256
$8x + $12y = $2,716
We will solve this system of equations by elimination.
Multiply the first equation by -8
-8x - 8y = -2048
8x + 12y = 2716
Let's add the equations together
0 + 4y = 668
Simplify the left side
4y = 668
Divide both sides by 4
y = 167
We can subtract 167 from 257 to get the number of balcony seats.
257 - 167 = 90 balcony seats
There are 167 orchestra seats and 90 balcony seats
.0075 is simplest... or .0075/1 if it needs to be a fraction i guess