Difference between revisions of "2016 AMC 12B Problems/Problem 5"
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==Solution== | ==Solution== | ||
+ | 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)}\ Saturday}</math> | ||
==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 12:34, 21 February 2016
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
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
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 |
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