A jar has between 40 and 50 marbles. If the marbles are taken out of the jar 3 at a time, 2 marbles will be left in the jar. If the marbles are taken out of the jar 5 at a time, 4 marbles will be left in the jar. How many marbles are in the jar?
A jar has between 40 and 50 marbles. If the marbles are taken out of the jar 3 at a time, 2 marbles will be left in the jar. If the marbles are taken out of the jar 5 at a time, 4 marbles will be left in the jar. How many marbles are in the jar?
So you're looking for a number between 40 and 50 whose remainder is 2 when divided by 3:If the marbles are taken out of the jar 3 at a time, 2 marbles will be left in the jar.
41, 44, 47, 50
Here, you're looking for a number between 40 and 50 whose remainder is 3 when divided by 4:If the marbles are taken out of the jar 5 at a time, 4 marbles will be left in the jar.
43, 47
47 appears in both lists, so that's the answer.
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