IF THE NUMBER OF 'WEEKS' in a month is determined by how many weekly pay days fall in a particular month, then, in a leap year, and subject to a maximum of 5, each month has the potential of being a '5 week' month.
In non-leap-years, and again subject subject to a maximum of five, each month except February has the potential of being a 5 week month,
BUT IF A WEEK is defined as a 'working week', and the 'working week' is a period of five consecutive days followed by two rest days, there are no months which have or can have five working weeks.
This can be proven as follows:
Of course, if a working week is only 3 consecutive days, then every month with 31 days and that starts on a working day will have 5 working weeks:
If a person's 'working week' in a particular situation is only two consecutive days long, in months with 31 days the maximum number of working weeks is still only five.
This is because, although the pattern of 2 working + 5 non-work days requires only 30 days for a period of five '2-working day' weeks, the remaining day has to be a non-work day at one end or the other of the month.
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Much less- 5 months amounts to 20 weeks, as there are 4 weeks to a month, so 4 weeks x 5 = 20. There are 52 weeks in a year, so 40 weeks is 9 months.
52 weeks = 1 year and 20 weeks = 5 months so it would be 1 year 5 months.
Since a month is approximately 4 weeks, 20 weeks are approximately 5 months.
August
5 months