Question

Three friends are renting

an apartment. In addition to

                                 the first months rent landlord

                             requies them to pay half month of rent

                        as security deposit, 40% of a months rent for

                   utility bills,5% of a months rent for health club, and

              13% of a months rent / person for other services. The

                    total amount they pay the landlord before moving in

                             Is $2574 . What is monthly rent?

                                 Set up equation where Y =total

                                     Money paid , A= monthly rent

Answer 1

It is given that:

Monthly Rent = A

Total Money Paid to Landlord = Y

The landlord requires initial payment to include:

• 1st month's rent
• 
  `(1)/(2)` month's rent or 50% of monthly rent for Security Deposit
• 40% of monthly rent for utility bills
• 5% of monthly rent for health club
• 13% of monthly rent per person for other services

Also, Total Amount Paid to the Landlord = $2574

Number of People Sharing the Apartment = 3

Basis the above information,

Y = (100% * A) + (50% * A) + (40% * A) + (5% * A) + (13% * A * 3)

⇒ Y = A + (0.5 * A) + (0.4 * A) + (0.05 * A) + (0.39 * A)

⇒ Y = A + (0.5 * A) + (0.4 * A) + (0.05 * A) + (0.39 * A)

⇒ Y = 2.34 * A

Substituting the value of Y to determine A

⇒ 2,574 = 2.34 * A

⇒ A = 1,100

Hence, the monthly rent is $1,100