Write and solve an equation to model the situation:

two friends are renting an apartment. they pay the landlord the first months rent. the landlord also requires them to pay an additional half of a month's rent for a security deposit. the total amount they pay the landlord before moving in is $1725. What is the monthly rent?

x + 0.5x = 1725

1.5x = 1725
x = 1725/1.5
x = ?

Ms.Sue is right but math doesn't have one way to calculate something so here how I did my , and I got the same result with Ms. Sue .

2.2m+500=2800
2m=2300
M=2300/2 ( 2300 divided by 2 )
M= 1150

I hope that's fine with you Ms. Sue
I'm just giving my help !!!

Thanks , Have a great day readers @@@

To solve the problem, we need to set up an equation based on the given information.

Let's say the monthly rent is represented by "x".

According to the situation, the friends pay the first month's rent, which is "x", and also half of a month's rent for the security deposit, which is "0.5x". Therefore, the total amount they pay the landlord is $1725.

We can now form the equation:

x + 0.5x = 1725

Combining like terms, the equation becomes:

1.5x = 1725

To solve for "x", we divide both sides of the equation by 1.5:

x = 1725 / 1.5

Evaluating the expression, we find:

x ≈ 1150

Hence, the monthly rent is approximately $1150.