Question

Apartment A charges $200 for a one-time deposit and $400 per month for rent. Apartment B charges $500 for a deposit, but only charges $350 per month in rent. Write an inequality that would determine how many months it would take for cumulative amount paid to be less than for apartment B and solve.

Answer 1

6 months

Explanation:

Let the total chargers be y

and let the monthly charge be x

Apartment A

y=200+400x----------1

Apartment B

y=500+350x---------2

Equating 1 and 2 to solve for x we have

200+400x=500+350x

collecting like terms

200-500=350x-400x

-300=-50x

x=300/50

x=6