Remainders and number theory for grades 6-12

Mr. Canastar had 3 identical decks of cards, and told his class that each contained more than 100 but less than 200 cards. He told Yohan to count the 1st deck by 3's and there were 2 left over. He told Matt to count the 2nd deck by 5's and there were 3 left over. CC counted the 3rd deck by 7's and there were 2 left.

He challenged the rest of the class to figure out how many cards were in each deck. Can you? And explain your method too!








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