To calculate the rent refund for tenant Jones and the amount that tenant Smith should have been charged for June, we first need to determine the daily rental rate and the relevant rental periods.
-
Calculate the Daily Rental Rate: The monthly rent for the apartment is $900. To find the daily rate, we divide the monthly rent by 30 days:
\[ \text{Daily Rent} = \frac{900}{30} = 30 \text{ dollars per day} \]
-
Determine Tenant Jones' Refund: Tenant Jones paid rent for the full month of June (June 1 to June 30) but moved out on June 7. Therefore, Jones is entitled to a refund for the days he did not occupy the apartment after moving out.
Jones lived in the apartment from June 1 to June 7, which is 7 days.
The number of days Jones did not occupy the apartment after moving out is:
\[ 30 - 7 = 23 \text{ days} \]
Now, we calculate the refund by multiplying the number of non-occupied days by the daily rent:
\[ \text{Refund for Jones} = 23 \text{ days} \times 30 \text{ dollars/day} = 690 \text{ dollars} \]
-
Determine How Much Tenant Smith Should Pay for June: Tenant Smith moved in on June 16. Since Jones had already paid for the month of June and Smith cannot be charged simultaneously for the same apartment, Smith should only pay for the days he is occupying the apartment.
Smith occupied the apartment from June 16 to June 30, which is:
\[ 30 - 16 + 1 = 15 \text{ days} \]
Now, we calculate how much Smith should pay:
\[ \text{Rent for Smith} = 15 \text{ days} \times 30 \text{ dollars/day} = 450 \text{ dollars} \]
Summary of Amounts:
- Refund for Tenant Jones: $690
- Rent for Tenant Smith: $450
1 answer