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2012 AMC 10B Problem 4

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2012 AMC 10B Problem 4AMC 10 Step by Step

Name: Date: September 13, 2026

Modular Arithmetic · difficulty 1 of 5 · about 1 min · position P1-10

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?

A)
$1$
B)
$2$
C)
$3$
D)
$4$
E)
$5$

2012 AMC 10B Problem 4

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