SOLUTION: Two friends are renting an apartment. They pay the landlord the first month's rent. The landlord also requires them to pay an additional half of a month's rent for a security depos

Algebra ->  Equations -> SOLUTION: Two friends are renting an apartment. They pay the landlord the first month's rent. The landlord also requires them to pay an additional half of a month's rent for a security depos      Log On


   

Question 97380: Two friends are renting an apartment. They pay the landlord the first month's 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?
Write an equation to model situation and solve equation.
Thanks.
Answer by roseyposey(9) About Me  (Show Source):
You can put this solution on YOUR website!
Rent = x
Security deposit = %281%2F2%29x
x%2B%281%2F2%29x=1725
1%281%2F2%29x=1725
%283%2F2%29x=1725
%282%29%283%2F2%29x=%282%291725
3x=3450
3x%2F3=3450%2F3
x=1150
Check the Answer!
1150%2B%281150%2F2%29=1725
1150%2B575=1725
1725=1725
TRUE
The rent is $1150 per month; the security deposit was $575.