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?
Accepted Solution
A:
Answer: 2 apartments on each floorStep-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 buildingSo, 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