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2012 AMC 10B Problems/Problem 4

Revision as of 18:06, 25 February 2012 by Juluqu (talk | contribs)

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?

$\textbf{(A)}\ 1\qquad\textbf{(B)}\ 2\qquad\textbf{(C)}\ 3\qquad\textbf{(D)}\ 4\qquad\textbf{(E)}\ 5$


Solution

In total, there were $3+4=7$ marbles left from both Ringo and Paul. $7/6$=1R1. This means that that there is $\boxed{1}$ marbles left or

$\textbf{(A)}$

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