Question

An apartment complex charges a refundable security deposit when renting an
apartment. The deposit is $200 less than the monthly rent. If Charlene paid a total
of $1100 for her first month's rent and security deposit, how much is her monthly
rent? How much is the security deposit?

Answer 1

Answer:

The monthly rent is $650 per month and the security deposit is $450.

Step-by-step explanation:

It is given that the security deposit is $200 less than the monthly rent.

If the monthly rent is $x, then the security deposit is $(x - 200).

If Charlene paid a total of $1100 for her first month's rent and security deposit, then  

x + (x - 200) = 1100, ⇒ 2x = 1300, ⇒ x = $650

Hence, (x - 200) = $450

Therefore, the monthly rent is $650 per month and the security deposit is $450. (Answer)