if every second saturday and all sundays are holidays in a 30 days month beginning on saturday, then how many working days are there in that month?

4 hours ago 3
Nature

Let's analyze the problem step-by-step.

Given:

  • Month length: 30 days
  • Month starts on: Saturday
  • Holidays: every second Saturday and all Sundays
  • Need to find: number of working days in the month

Step 1: Identify all Saturdays and Sundays in the month

Since the month starts on a Saturday:

  • Day 1: Saturday
  • Day 2: Sunday
  • Day 3: Monday
  • Day 4: Tuesday
  • Day 5: Wednesday
  • Day 6: Thursday
  • Day 7: Friday
  • Day 8: Saturday
  • Day 9: Sunday
  • ... and so on.

Saturdays in the month:

  • 1, 8, 15, 22, 29

Sundays in the month:

  • 2, 9, 16, 23, 30

Step 2: Determine which Saturdays are holidays

  • Every second Saturday is a holiday.
  • Saturdays: 1, 8, 15, 22, 29
  • Second Saturdays: 8, 22 (2nd and 4th Saturdays)

So, holidays on Saturdays are days 8 and 22.

Step 3: All Sundays are holidays

  • Sundays: 2, 9, 16, 23, 30
  • All these are holidays.

Step 4: Calculate total holidays

  • Saturdays holidays: 2 days (8, 22)
  • Sundays holidays: 5 days (2, 9, 16, 23, 30)
  • Total holidays = 2 + 5 = 7 days

Step 5: Calculate working days

  • Total days in month = 30
  • Holidays = 7
  • Working days = 30 - 7 = 23 days

Final Answer:

There are 23 working days in the month.