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 month's rent for a security deposit

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Question 788084: 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 month's rent for a security deposit. the total amount the pay the landlord before moving in is $1725. what is the monthly rent?
*MAKE INTO AN EQUATION*
Please help! I have no idea how to do it!

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
$x= one month rent.
$%281%2F2%29%2Ax= half of a month's rent = security deposit
$x%2B%281%2F2%29x=1725 = total amount to be paid to the landlors before moving in
Solving:
x%2B%281%2F2%29x=1725
%281%2B1%2F2%29x=1725
%283%2F2%29x=1725
%282%2F3%29%283%2F2%29x=%282%2F3%291725
x=2%2A1725%2F3
x=3450%2F3
highlight%28x=1150%29
The monthly rent is $1150.

You could also express half a month's rent as 0.5x.
Then,
x%2B0.5x=1725
%281%2B0.5%29x=1725
1.5x=1725
x=1725%2F1.5
highlight%28x=1150%29