robert marshall
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- Jan 16, 2012
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If April first is on a Thursday, What day of the week will Halloween be in the same year?
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math involving a calendar
- Thread starter robert marshall
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If April first is on a Thursday, What day of the week will Halloween be in the same year?
Hint:
What is the date for Halloween?
You need to solve this problem quickly - because in some localities there are bills waiting that would change the date for Halloween.
Hello, robert marshall!
Do you have any plans for solving this problem?
Or are you waiting for us to supply a "Number of Days from April Fool to Halloween" Formula?
(Do not confuse it with the "Valentine's Day to Christmas" Formula.)
Method #1
Find a 2009 calendar.
We find that April 1 was a Thursday.
Looking at October, we see that Halloween was Sunday.
Method #2
Look at this year's calendar (2012).
April 1 is Sunday and Halloween is Wednesday (three days later).
Therefore, if April 1 is Thursday, then Halloween is Sunday.
Method #3
Count the number of days.
. . \(\displaystyle \begin{array}{ccc}\hline \text{Apr 1} & \\ \hline & 29 \\ \hline \text{Apr 30}& \\ \hline & 31 \\ \hline \text{May 31} & \\ \hline & 30 \\ \hline \text{June 30} & \\ \hline & 31 \\ \hline \text{July 31} & \\ \hline & 31 \\ \hline \text{Aug 31} & \\ \hline & 30 \\ \hline \text{Sep 30} & \\ \hline & 31 \\ \hline \text{Oct 31} & \\ \hline \hline \\ \text{Total:} & 213 \end{array}\)
\(\displaystyle 213 \;=\;30(7) + 3 \;=\;30\text{ weeks }+ 3\text{ days}\)
Got it?
If April first is on a Thursday, what day of the week will Halloween be in the same year?
Do you have any plans for solving this problem?
Or are you waiting for us to supply a "Number of Days from April Fool to Halloween" Formula?
(Do not confuse it with the "Valentine's Day to Christmas" Formula.)
Method #1
Find a 2009 calendar.
We find that April 1 was a Thursday.
Looking at October, we see that Halloween was Sunday.
Method #2
Look at this year's calendar (2012).
April 1 is Sunday and Halloween is Wednesday (three days later).
Therefore, if April 1 is Thursday, then Halloween is Sunday.
Method #3
Count the number of days.
. . \(\displaystyle \begin{array}{ccc}\hline \text{Apr 1} & \\ \hline & 29 \\ \hline \text{Apr 30}& \\ \hline & 31 \\ \hline \text{May 31} & \\ \hline & 30 \\ \hline \text{June 30} & \\ \hline & 31 \\ \hline \text{July 31} & \\ \hline & 31 \\ \hline \text{Aug 31} & \\ \hline & 30 \\ \hline \text{Sep 30} & \\ \hline & 31 \\ \hline \text{Oct 31} & \\ \hline \hline \\ \text{Total:} & 213 \end{array}\)
\(\displaystyle 213 \;=\;30(7) + 3 \;=\;30\text{ weeks }+ 3\text{ days}\)
Got it?