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Henry the Donkey Eating Some Pasta (2022 AMC 8 P11)

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January 25, 2022
AMC 82022 AMC 8

Problem Statement

Henry the donkey has a very long piece of pasta. He takes a number of bites of pasta, each time eating 33 inches of pasta from the middle of one piece. In the end, he has 1010 pieces of pasta whose total length is 1717 inches. How long, in inches, was the piece of pasta he started with?
<spanclass=′latex−bold′>(A)</span> 34<spanclass=′latex−bold′>(B)</span> 38<spanclass=′latex−bold′>(C)</span> 41<spanclass=′latex−bold′>(D)</span> 44<spanclass=′latex−bold′>(E)</span> 47<span class='latex-bold'>(A)</span> ~34\qquad<span class='latex-bold'>(B)</span> ~38\qquad<span class='latex-bold'>(C)</span> ~41\qquad<span class='latex-bold'>(D)</span> ~44\qquad<span class='latex-bold'>(E)</span> ~47\qquad
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