Hope this helps.
If not, go to: https://www.mathportal.org/calculators/financial-calculators/simple-interest-calculator.php
A=8ft^2
A=l•w
8=l•w
l=8/w
P=2(l+w)
12=2(8/w+w)
12=2(8/w+w/1)
12=2(8/w+w^2/w)
12=16w^2/w
12=16w
w=12/16
w=3/4=0.75ft
l=8/0.75=10.67ft
The answer is b -9 < x < 12
Yes, this theater has more floor seats than balcony seats simply because of the ratio. Your answer is actually in the question. For example, if you have 100 floor seats, then according to the ratio you should only have 5 balcony seats. So yes, there are more floor seats than balcony seats.
You can't change the sum by changing the grouping. Any way you cut it, you will always get 226, as you only have addition operations, and the commutative property [a+(b+c)=(a+b)+c] means that the sum will always be the same.
