Question

There are 18 apartments in Russell's building. The number of apartments per floor is equal to 2 times the number of floors in the building. How many apartments are on each floor?

Answer 1

Answer: 2 apartments on each floor

Explanation:

This problem can be solved with a system of equations, where
`A` represents the apartments and
`F` the floors:

We are told there are 18 apartments:

`A=18` (1)

In addition, we are told the number of apartments per floor is equal to 2 times the number of floors:

`A=2F` (2)

Combining (1) and (2):

`18=2F` (3)

Isolating
`F`:

`F=(18)/(2)=9` (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:

`(A)/(F)=(18)/(9)=2` This means there are 2 apartments on each floor