Difference between revisions of "2016 AMC 12B Problems/Problem 5"
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| − | To find what day of the week it is in <math>919</math> days, we have to divide <math>919</math> by <math>7</math> to see the remainder, and then add the remainder to the current day. We get that <math>\frac{919}{7}</math> has a remainder of 2, so we increase the current day by <math>2</math> to get <math>\boxed{\textbf{(B)} \text{Saturday}}</math> | + | To find what day of the week it is in <math>919</math> days, we have to divide <math>919</math> by <math>7</math> to see the remainder, and then add the remainder to the current day. We get that <math>\frac{919}{7}</math> has a remainder of 2, so we increase the current day by <math>2</math> to get <math>\boxed{\textbf{(B)}\ \text{Saturday}}</math>. |
| − | + | Note that the dates themselves (and thus leap years) can be ignored, as we only need the number of days that passed to figure out the day of the week. | |
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==See Also== | ==See Also== | ||
{{AMC12 box|year=2016|ab=B|num-b=4|num-a=6}} | {{AMC12 box|year=2016|ab=B|num-b=4|num-a=6}} | ||
{{MAA Notice}} | {{MAA Notice}} | ||
Revision as of 22:59, 6 November 2021
Problem
The War of 
started with a declaration of war on Thursday, June 
, . The peace treaty to end the war was signed 
days later, on December 
, 
. On what day of the week was the treaty signed?
Solution
By: dragonfly
To find what day of the week it is in days, we have to divide by 
to see the remainder, and then add the remainder to the current day. We get that 
has a remainder of 2, so we increase the current day by 
to get 
.
Note that the dates themselves (and thus leap years) can be ignored, as we only need the number of days that passed to figure out the day of the week.
See Also
| 2016 AMC 12B (Problems • Answer Key • Resources) | |
| Preceded by Problem 4 |
Followed by Problem 6 |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | |
| All AMC 12 Problems and Solutions | |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
