Two college friends rent an apartment. They have to pay the landlord two months' rent and a $500 security deposit when they sign the lease. The total amount they pay the landlord is $2800. Write and solve an equation to determine the rent for one month
Let's represent the rent for one month as "x".
The amount they pay for two months' rent is 2x.
So the equation would be:
2x + $500 = $2800
Subtracting $500 from both sides:
2x = $2800 - $500
2x = $2300
Dividing both sides by 2:
x = $1150
Therefore, the rent for one month is $1150.
Let's assume the rent for one month is represented by the variable "x".
According to the given information, the two college friends pay two months' rent and a $500 security deposit, which sums up to $2800.
So, the equation representing this situation is:
2x + 500 = 2800
To solve this equation, we need to isolate the variable "x".
First, we subtract 500 from both sides of the equation:
2x + 500 - 500 = 2800 - 500
2x = 2300
Next, we divide both sides of the equation by 2 to solve for x:
2x/2 = 2300/2
x = 1150
Therefore, the rent for one month is $1150.