Difference between revisions of "2023 AMC 8 Problems/Problem 18"
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− | ~apex304, SohumUttamchandani, wuwang2002, TaeKim, Cxrupptedpat | + | ~apex304, SohumUttamchandani, wuwang2002, TaeKim, Cxrupptedpat, lpieleanu |
==Animated Video Solution== | ==Animated Video Solution== |
Revision as of 20:59, 24 January 2023
Solution
We have directions going right or left. We can assign a variable to each of these directions. We can call going right 1 direction X and we can call going 1 left Y. We can build a equation of . Where we have to limit the number of moves we do. We can do this by making more of our moves the move turn then the move turn. The first obvious step is to go some amount of moves in the → direction then subtract off in the ← direction to land on . The least amount of ’s added to to make a multiple of is as . So now we have solved the problem as we just go hops right, and just do 4 more hops left. Yielding as our answer.
~apex304, SohumUttamchandani, wuwang2002, TaeKim, Cxrupptedpat, lpieleanu
Animated Video Solution
~Star League (https://starleague.us)