Difference between revisions of "2023 AMC 8 Problems/Problem 16"
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In our <math>5 \times 5</math> grid we can see there are <math>8</math>, <math>9</math> and <math>8</math> of the letters P, Q and R’s respectively. We can see our pattern between each is <math>x</math>, <math>x+1</math>, <math>x</math> for the P, Q and R’s respectively. This such pattern will follow in our bigger example, so we can see that the only answer choice which satisfies this condition is <math>\boxed{\text{(C)}\hspace{0.1 in} 133, 134, 133}</math> | In our <math>5 \times 5</math> grid we can see there are <math>8</math>, <math>9</math> and <math>8</math> of the letters P, Q and R’s respectively. We can see our pattern between each is <math>x</math>, <math>x+1</math>, <math>x</math> for the P, Q and R’s respectively. This such pattern will follow in our bigger example, so we can see that the only answer choice which satisfies this condition is <math>\boxed{\text{(C)}\hspace{0.1 in} 133, 134, 133}</math> | ||
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(Note: you could also "cheese" this problem by listing out all of the letters horizontally in a single line and looking at the repeating pattern.) | (Note: you could also "cheese" this problem by listing out all of the letters horizontally in a single line and looking at the repeating pattern.) | ||
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~apex304, SohumUttamchandani, wuwang2002, TaeKim, Cxrupptedpat | ~apex304, SohumUttamchandani, wuwang2002, TaeKim, Cxrupptedpat |
Revision as of 19:42, 24 January 2023
Solution 1
In our grid we can see there are
,
and
of the letters P, Q and R’s respectively. We can see our pattern between each is
,
,
for the P, Q and R’s respectively. This such pattern will follow in our bigger example, so we can see that the only answer choice which satisfies this condition is
(Note: you could also "cheese" this problem by listing out all of the letters horizontally in a single line and looking at the repeating pattern.)
~apex304, SohumUttamchandani, wuwang2002, TaeKim, Cxrupptedpat
Animated Video Solution
~Star League (https://starleague.us)