A grade 6 textbook asked our students how many Mondays there...

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Question by Bryan
Submitted on 11/18/2003
Related FAQ: sci.math FAQ: Day of Week
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A grade 6 textbook asked our students how many Mondays there are in a year... I don't think we have it answered correctly. Also, we would like to know how many Mondays there are in a century?

Answer by sugrbear
Submitted on 9/11/2004
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52 weeks x 7 days/week = 364 days. If the year is not a leap year (365 days), then if the 1st day of the year is Monday, then there are 53 Mondays, else there are 52 Mondays. If the year is a leap year (366 days), then if the first day of the year is a Sunday or Monday, then there are 53 Mondays, else there are 52 Mondays. The rule can also be written that there are 52 Mondays per year unless the first day of the year is Monday or (the first day of the year is Sunday of a leap year), in which case there are 53 Mondays.

Answer by Michael
Submitted on 3/25/2005
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It would depend upon what day the year started with. To maximize the number of mondays, the year must start with a monday. Then after fifty two weeks have elapsed, or 364 days, fifty two mondays have occured. This would leave one or two days as a remainder (depending if it is a leap year or not), either way, you can only squeeze one more monday in. So the final answer would be 53 mondays. This of course would vary according to the first day of the year.

Answer by x
Submitted on 11/28/2006
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year = 365.25 days (.25 to include leap) Weeks = days / 7 Each Week contains 1 Monday Weeks = Mondays Mondays = 365.25 / 7 = 52r1.25

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