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

The monthly rent of the complex = $ 650

and $450 is the security deposit.

Explanation:

The amount paid for first month's rent = $1100

Now, let the monthly rent of the complex = $K

So, Deposit on the monthly rent = $ ( K - 200)

Now, according to the question:

$K + $ ( K - 200) = $1100

or, 2K = 1100 + 200

or, K = 1300/2 = 650

or, K = $ 650

Hence, The monthly rent of the complex = $ 650

and the deposit of the rent = K -200 = 650 - 200 = $450