Apartment A has a $1000 deposit and cost $1200 each month apartment B had a $1500 deposit and cost $1175 each month how many months will it take for the costs to be the same?

To find when the costs of Apartment A and Apartment B will be the same, set up the equation for total costs over time. For Apartment A, the total cost after ( x ) months is ( 1000 + 1200x ), while for Apartment B, it is ( 1500 + 1175x ). Setting these equal gives:

( 1000 + 1200x = 1500 + 1175x ).

Solving this, we find:

( 25x = 500 ) or ( x = 20 ).

It will take 20 months for the total costs of both apartments to be the same.