Sierra is looking to rent her first apartment. She found a nice apartment in her budget with a monthly rent of X dollars. At lease signing, Sierra had to pay first and last month's rent, a security deposit of one and a half times the monthly rent, and an application fee of $65. If Sierra paid $2,305 at lease signing, how much was the security deposit?

B

$960

Question

Mathematics

Immanuel Chen

6 December, 18:47

Sierra is looking to rent her first apartment. She found a nice apartment in her budget with a monthly rent of X dollars. At lease signing, Sierra had to pay first and last month's rent, a security deposit of one and a half times the monthly rent, and an application fee of $65. If Sierra paid $2,305 at lease signing, how much was the security deposit?

B

$960

+3

Answers (1)

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Messiah Mcpherson · Answer 1

To answer this item, we let x be the amount due every month for the rental of the apartment. The equation that would best represent the given is that,

x + x 1.5x + 65 = 2,305

The value of x from the derived equation is $640. Since, the security deposit is equal to 1.5x, it is equal to $960.