Difference between revisions of "2023 AMC 8 Problems/Problem 16"
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\end{array} | \end{array} | ||
'Table made by Technodoggo' | 'Table made by Technodoggo' | ||
− | <math>\boxed{\text{A}}~132 | + | <math>\boxed{\text{A}}~132\text{ Ps, }134\text{ Qs, }134\text{ Rs}</math> |
− | <math>\boxed{\text{B}}~133 | + | <math>\boxed{\text{B}}~133\text{ Ps, }133\text{ Qs, }134\text{ Rs}</math> |
− | <math>\boxed{\text{C}}~133 | + | <math>\boxed{\text{C}}~133\text{ Ps, }134\text{ Qs, }133\text{ Rs}</math> |
− | <math>\boxed{\text{D}}~134 | + | <math>\boxed{\text{D}}~134\text{ Ps, }132\text{ Qs, }134\text{ Rs}</math> |
− | <math>\boxed{\text{E}}~134 | + | <math>\boxed{\text{E}}~134\text{ Ps, }133\text{ Qs, }133\text{ Rs}</math> |
== Solution 1 == | == Solution 1 == |
Revision as of 20:29, 24 January 2023
The letters P, Q, and R are entered into a table according to the pattern shown below. How many Ps, Qs, and Rs will appear in the completed table?
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)