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Sam is moving into a new apartment. Before he moves in, he has to pay his landlord the first month's rent and a security deposit 1.5 times that of the monthly rent. If he pays the landlord $3275 before he moves in, what is the monthly rent?

Respuesta :

texaschic101
x = monthly rent
x + 1.5x = 3275
2.5x = 3275
x = 3275/2.5
x = 1310 <== rent

1.5(1310) = 1965 -- security deposit


check...
1310 + 1965 = 3275
3275 = 3275 (correct)

so his monthly rent is : $ 1310

The monthly rent will be $1310

Let the monthly rent be represented by x.

Since the security deposit is 1.5 times that of the monthly rent, then the security deposit will be: = (1.5 × x) = 1.5x

Then the monthly rent will be calculated thus:

(1.5x + x) = $3275

2.5x = $3275

Then, we'll find the value of x

x = $3275/2.5

x = $1310

Therefore, the monthly rent will be $1310.

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