SOLUTION: A long wire of some length is cut into small pieces of 216 cm, leaves a small piece of length of 89 cm. If this part were cut into equal pieces each of 18 cm, then what is the leng

Algebra ->  Permutations -> SOLUTION: A long wire of some length is cut into small pieces of 216 cm, leaves a small piece of length of 89 cm. If this part were cut into equal pieces each of 18 cm, then what is the leng      Log On


   



Question 1062617: A long wire of some length is cut into small pieces of 216 cm, leaves a small piece of length of 89 cm. If this part were cut into equal pieces each of 18 cm, then what is the length of the leftover wire?
Answer by Alan3354(69443) About Me  (Show Source):
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A long wire of some length is cut into small pieces of 216 cm, leaves a small piece of length of 89 cm. If this part were cut into equal pieces each of 18 cm, then what is the length of the leftover wire?
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216 + 89 = 305 cm
305 = 16*18 + 17
17 cm left over.
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216 times any integer gives the same result, since 18 is a factor of 216.