Two college friends rent an apartment. They must pay the landlord two months' rent and $500 security deposit when they sign the lease. The total amount they pay the landlord is $2800. How much does it cost to rent the apartment for one month?

Question

Mathematics

Margaret Larson

16 July, 00:41

Two college friends rent an apartment. They must pay the landlord two months' rent and $500 security deposit when they sign the lease. The total amount they pay the landlord is $2800. How much does it cost to rent the apartment for one month?

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Answers (1)

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Dean Buckley · Answer 1

Answer:it costs $1150 to rent the apartment for one month.

Step-by-step explanation:

Let x represent the cost to rent the apartment for one month.

They must pay the landlord two months' rent and $500 security deposit when they sign the lease. This means that the security deposit is constant and independent of the number of months that they want to pay for.

The total amount they pay the landlord is $2800. Therefore

2x + 500 = 2800

2x = 2800 - 500 = 2300

x = 2300/2 = 1150