Difference between revisions of "2025 AMC 8 Problems/Problem 21"
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| − | The | + | ==Problem 21== |
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| + | The Konigsberg School has assigned grades 1 through 7 to pods <math>A</math> through <math>G</math>, one grade per | ||
| + | pod. Some of the pods are connected by walkways, as shown in the figure below. The school | ||
| + | noticed that each pair of connected pods has been assigned grades differing by 2 or more grade | ||
| + | levels. (For example, grades 1 and 2 will not be in pods directly connected by a walkway.) What is | ||
| + | the sum of the grade levels assigned to pods <math>C, E</math>, and <math>F</math>? | ||
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| + | |||
| + | <math>\textbf{(A)}~12\qquad\textbf{(B)}~13\qquad\textbf{(C)}~14\qquad\textbf{(D)}~15\qquad\textbf{(E)}~16</math> | ||
Revision as of 21:59, 29 January 2025
Problem 21
The Konigsberg School has assigned grades 1 through 7 to pods 
through 
, one grade per
pod. Some of the pods are connected by walkways, as shown in the figure below. The school
noticed that each pair of connected pods has been assigned grades differing by 2 or more grade
levels. (For example, grades 1 and 2 will not be in pods directly connected by a walkway.) What is
the sum of the grade levels assigned to pods 
, and 
?
