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jmc

algebra junior

Problem

Henry the donkey has a very long piece of pasta. He takes a number of bites of pasta, each time eating inches of pasta from the middle of one piece. In the end, he has pieces of pasta whose total length is inches. How long, in inches, was the piece of pasta he started with?
(A)
(B)
(C)
(D)
Solution
If there are pieces of pasta, Henry took bites. Each of these bites took inches of pasta out, and thus his bites in total took away inches of pasta. Thus, the original piece of pasta was inches long.
Final answer
D