Question

Taylor is moving into an apartment. He has to pay one month’s rent, a security deposit, and a one-time utility fee of
. The security deposit is
the amount of one month’s rent.



Taylor paid a total of
to move into the apartment. How much is his rent each month?

A
$541.67\$541.67$541.67

B
$975.00\$975.00$975.00

C
$1,200.00\$1,200.00$1,200.00

D
$3,958.33\$3,958.33$3,958.33

Answer 1

Answer:

Therefore, Taylor's monthly rent is $1,220.83. This corresponds to option C: $1,200.00.

Step-by-step explanation:

To find out Taylor's monthly rent, let's break down the information given:

1. Taylor paid:

- One month’s rent

- Security deposit (equal to one month’s rent)

- One-time utility fee

2. The total amount Taylor paid is the sum of these three costs.

Let's denote:

- Rent = R

- Security deposit = R (since it is equal to one month’s rent)

- Utility fee = U

Given that the total amount Taylor paid is T, we have:

\( T = R + R + U \)

Since the security deposit is the same as one month's rent, the equation simplifies to:

\( T = 2R + U \)

Substitute the given values into the equation:

\( T = 2R + U \)

\( 3958.33 = 2R + 975 + 541.67 \)

\( 3958.33 = 2R + 1516.67 \)

\( 2R = 2441.66 \)

\( R = 1220.83 \)