Problem:
When Ringo places his marbles into bags with marbles per bag, he has marbles left over. When Paul does the same with his marbles, he has marbles left over. Ringo and Paul pool their marbles and place them into as many bags as possible, with marbles per bag. How many marbles will be left over?
Answer Choices:
A.
B.
C.
D.
E.
Solution:
The marbles left over will fill one more bag of marbles leaving marble left over.
The problems on this page are the property of the MAA's American Mathematics Competitions