2023 AMC 8 Problems/Problem 16

Revision as of 18:42, 24 January 2023 by Taekim (talk | contribs) (Solution 1)

Solution 1

In our $5 \times 5$ grid we can see there are $8$, $9$ and $8$ of the letters P, Q and R’s respectively. We can see our pattern between each is $x$, $x+1$, $x$ 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 $\boxed{\text{(C)}\hspace{0.1 in} 133, 134, 133}$


(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

https://youtu.be/1tnMR0lNEFY

~Star League (https://starleague.us)