2012 AMC 10B Problems/Problem 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?
In total, there were marbles left from both Ringo and Paul.We know that . This means that there would be marble left over, or . The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.