2008 AMC 8 Problems/Problem 3
Contents
[hide]Problem
If February is a month that contains Friday the , what day of the week is February 1?
Solution
We can go backwards by days, but we can also backwards by weeks. If we go backwards by weeks, we see that February 6 is a Friday. If we now go backwards by days, February 1 is a
Solution 2
Since the days of the week repeat every 7 days and , the day of the week of the day 2 days after February 13 is the same as the day of the week of February 1. Since we know that February 13 is a Friday, the day of the week of the day 2 days after February 13 is a Sunday so we get that February 1 is a .
Solution 3
We can go back 2 weeks and say that Friday is the -1st of February. Going forward 2 days, we get that February 1st is Sunday. So our answer is .
See Also
2008 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 2 |
Followed by Problem 4 | |
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All AJHSME/AMC 8 Problems and Solutions |
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