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Math Help - Marbles in A Jar

  1. #1
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    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?
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  2. #2
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    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.


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  3. #3
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    Quote Originally Posted by yeongil View Post
    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.


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

    Thanks
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  4. #4
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    The answer is 44. He did a calculation wrong in his second section.
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  5. #5
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    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
    It's because I can't read. Sorry about that.


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  6. #6
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    Thanks

    I thank you all.
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