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?

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- Aug 4th 2009, 06:15 AMsharkmanMarbles in A 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?

- Aug 4th 2009, 06:26 AMyeongilQuote:

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

Quote:

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.

01 - Aug 4th 2009, 01:38 PMsharkman
- Aug 4th 2009, 01:51 PMANDS!
The answer is 44. He did a calculation wrong in his second section.

- Aug 4th 2009, 03:13 PMyeongilQuote:

Quote:

If the marbles are taken out of the jarat a time,**5**marbles will be left in the jar.**4**

when divided by**3**:**4**

43, 47

01 - Aug 4th 2009, 09:15 PMsharkmanThanks
I thank you all.