SOLUTION: please help, A jar contains between 40 to 50 marbles. If the marbles are takem out of the jar 3 at a time, there will be two marbles left in the jar. If the marbles are taken out

Question 64475: please help,
A jar contains between 40 to 50 marbles. If the marbles are takem out of the jar 3 at a time, there will be two marbles 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. 41 B. 43 C. 44 D. 47
I know the answer is C.44, but how do i get to that answer.
thank you very much and happy holidays,
Nathan
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
You can make a chart
# marbles:-------40-41--42--43-44--45--46-47--48-49--50
----------------------------------------------------------
# marbles/3-----13--13--14--14--14--15--15--15--16--16--16
remainder---------1---2---0---1---2----0---1---2---0---1---2
----------------------------------------------------------
# marbles/5------8---8---8---8---8---9---9---9---9---9--10
remainder---------0---1---2---3---4----0---1---2---3---4---0
The number of marbles that leave a remainder of 2 when taken out 3
at a time and a remainder of 4 when taken out 5 at a time is 44.
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