# Thread: Marbles in A Jar

1. ## Marbles 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?

2. If the marbles are taken out of the jar 3 at a time, 2 marbles will be left in the jar.
So you're looking for a number between 40 and 50 whose remainder is 2 when divided by 3:
41, 44, 47, 50

If the marbles are taken out of the jar 5 at a time, 4 marbles will be left in the jar.
Here, you're looking for a number between 40 and 50 whose remainder is 3 when divided by 4:
43, 47

47 appears in both lists, so that's the answer.

01

3. Originally Posted by yeongil
So you're looking for a number between 40 and 50 whose remainder is 2 when divided by 3:
41, 44, 47, 50

Here, you're looking for a number between 40 and 50 whose remainder is 3 when divided by 4:
43, 47

47 appears in both lists, so that's the answer.

01
The answer in the math book is 44 marbles. Can you explain why 44 is wrong and your answer is right?

Thanks

4. The answer is 44. He did a calculation wrong in his second section.

5. If the marbles are taken out of the jar 5 at a time, 4 marbles will be left in the jar.
Here, you're looking for a number between 40 and 50 whose remainder is 3 when divided by 4:
43, 47