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5 July, 21:58

David has some marbles. He gave 2/5 of his marble to his neighbour and 1/6 of the remainder to his friend Ali. He had 25 marbles left. How many marbles did he have at first?

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  1. 5 July, 22:05
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    Answer: he had 50 marbles at first.

    Step-by-step explanation:

    Let x represent the number of marbles that he had at first.

    He gave 2/5 of his marble to his neighbour. It means that the number of marbles that he gave to his neighbour is 2/5 * x = 2x/5

    The number of marbles that he has remaining is

    x - 2x/5 = 3x/5

    He gave 1/6 of the remainder to his friend Ali. It means that the number of marbles that he gave to his friend is

    1/6 * 3x/5 = x/10

    The number of marbles that he has left is

    3x/5 - x/10 = 5x/10

    He had 25 marbles left. It means that

    5x/10 = 25

    5x = 25 * 10 = 250

    x = 250/5 = 50
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