When Mike sorts his marbles, he notices that if he put them in groups of 5, he has one left over. When he sorts them in groups of 7, he also has one left over, but in groups of 6, he has none left over. What is the smallest number of marbles that he could have?

Answer 1

Look at the multiples of 6.

6, 12, 18, 24, 30, 36, 42, 48

Which of these numbers also fits the description in the problem?