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2012 AMC 10B Question 4

AMC10 · 2012 AMC 10B

Question 4

When Ringo places his marbles into bags with $6$ marbles per bag, he has $4$ marbles left over. When Paul does the same with his marbles, he has $3$ marbles left over. Ringo and Paul pool their marbles and place them into as many bags as possible, with $6$ marbles per bag. How many marbles will be left over?
  1. $ 1 $
  2. $ 2 $
  3. $ 3 $
  4. $ 4 $
  5. $ 5 $