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Remainder Shells


Ken has between 3 and 100 shells in his collection. If he counts his shells 3 at a time, he has 2 left over. If he counts them 4 at a time, he has 2 left over. If Ken counts them 5 at a time, he still has 2 left over. How many shells does Ken have in his shell collection?

(Source: Adapted from Mathematics Teaching in the Middle School, Mar-Apr 1996)



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