Math Problem Statement

If you worked January 8th through March 19th, how many days did you work?

Solution

To calculate the total number of days worked between January 8th and March 19th, we can break it down by months:

  1. January 8th to January 31st:

    • January has 31 days.
    • Days worked in January = 318+1=2431 - 8 + 1 = 24 days.
  2. February:

    • February has 29 days in a leap year or 28 days in a common year.
    • Assuming it's a common year (28 days), all 28 days of February are included.
  3. March 1st to March 19th:

    • Days worked in March = 19 days.

Total:

  • January: 24 days
  • February: 28 days
  • March: 19 days

24+28+19=71 days24 + 28 + 19 = 71 \text{ days}

So, you worked 71 days in total.

Would you like to go over any details? Here are some related questions:

  1. How do leap years affect the number of days worked in February?
  2. How can we calculate the number of business days between two dates?
  3. What formula would help calculate the number of days between any two dates?
  4. What are some quick ways to account for weekends or holidays when calculating workdays?
  5. How can you adjust this calculation for partial days worked?

Tip: Always consider whether it's a leap year when calculating days in February!

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Math Problem Analysis

Mathematical Concepts

Date Calculation
Time Interval

Formulas

Days in month formula: Days worked = (End day of the month - Start day + 1)
Summation of days across months

Theorems

Leap Year Rule

Suitable Grade Level

Grades 5-7