Math Problem Statement

I worked 8 hours a day on weekdays from June 3 to august 9 so how many hours is that (full time)

Solution

To calculate the total number of hours you worked from June 3 to August 9, follow these steps:

  1. Determine the number of weekdays between June 3 and August 9:

    • June 3 to June 30: June has 30 days, so from June 3 to June 30, we have 303+1=2830 - 3 + 1 = 28 days.

      • Out of these 28 days, there are 4 full weekends (Saturdays and Sundays), so 8 weekend days. Therefore, 28 days minus 8 weekend days gives us 288=2028 - 8 = 20 weekdays.
    • July: July has 31 days, and like June, there are 4 full weekends in July, meaning 8 weekend days. Thus, the weekdays in July are 318=2331 - 8 = 23 weekdays.

    • August 1 to August 9: From August 1 to August 9, there are 9 days. Like the others, there are 2 weekends, so 94=59 - 4 = 5 weekdays.

  2. Add up the weekdays:

    • June weekdays: 20
    • July weekdays: 23
    • August weekdays: 5

    Total weekdays = 20+23+5=4820 + 23 + 5 = 48 weekdays.

  3. Calculate total hours worked: You worked 8 hours a day, so: Total hours=48 weekdays×8 hours/day=384 hours.\text{Total hours} = 48 \text{ weekdays} \times 8 \text{ hours/day} = 384 \text{ hours}.

So, you worked a total of 384 hours.


Would you like further details on the breakdown or have any additional questions?

Here are 5 related questions:

  1. How do I calculate the number of weekdays in a specific month?
  2. What are the typical work hour regulations for part-time employees?
  3. How can I convert total hours worked into weeks?
  4. What are the calculations for overtime work hours?
  5. How does a leap year affect the number of days in each month?

Tip: To quickly find weekdays in a date range, you can use online date calculators or date functions in Excel (e.g., NETWORKDAYS).

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Time Calculation
Weekday Counting

Formulas

Total hours worked = Number of weekdays × Hours per weekday

Theorems

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Suitable Grade Level

Grades 6-8