For a family of 4, the estimated monthly cost of living in Forth Worth, Texas is $3,784. If there are 2 full-time working adults in the family, what is the average hourly living wage of each in order to support their basic needs? Round your answer to the nearest hundredth

1 answer

To calculate the average hourly living wage needed for each adult in the family of four to cover the estimated monthly cost of living in Fort Worth, Texas, we'll follow these steps:

  1. Determine the total monthly living expenses:
    The total estimated monthly cost of living is $3,784.

  2. Calculate the total monthly working hours:
    Assuming each adult works a full-time job, we will use the standard full-time hours. A typical full-time work schedule consists of about 40 hours a week. Therefore, for two adults over a month (assuming 4 weeks), the total working hours would be:

    \[ 2 , \text{adults} \times 40 , \text{hours/week} \times 4 , \text{weeks} = 320 , \text{hours/month} \]

  3. Calculate the required monthly wage for both adults:
    To find the total wages needed to cover the monthly cost of living, we can simply use the estimated monthly expenses of $3,784.

  4. Calculate the average hourly wage required:
    Finally, we can find the required hourly wage by dividing the total monthly expenses by the total monthly working hours:

    \[ \text{Average hourly wage} = \frac{\text{Total monthly expenses}}{\text{Total working hours}} = \frac{3784}{320} \]

    Performing the calculation:

    \[ \text{Average hourly wage} = 11.80 \]

Therefore, each adult would need to earn approximately $11.80 per hour to support their basic needs. Rounding to the nearest hundredth, the answer remains $11.80.