Answer: 2 apartments on each floor
Step-by-step explanation:
This problem can be solved with a system of equations, where [tex]A[/tex] represents the apartments and [tex]F[/tex] the floors:
We are told there are 18 apartments:
[tex]A=18[/tex] (1)
In addition, we are told the number of apartments per floor is equal to 2 times the number of floors:
[tex]A=2F[/tex] (2)
Combining (1) and (2):
[tex]18=2F[/tex] (3)
Isolating [tex]F[/tex]:
[tex]F=\frac{18}{2}=9[/tex] (4) This is the number of floors in the building
So, we have 18 apartments and 9 floors. Hence, the number of apartments per floor is:
[tex]\frac{A}{F}=\frac{18}{9}=2[/tex] This means there are 2 apartments on each floor
