Mathematics question

Three pieces of fruit have an average weight of m grams. After another piece of fruit is added, the average weight doubles. Find the weight of the extra piece of fruit in terms of m.

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  1. x1 = weight of the first piece

    x2 = weight of the secound piece

    x3 = weight of the third piece

    x4 = weight of the fourth piece ( extra piece )

    Average weight of first three pieces:

    ( x1 + x2 + x3 ) / 3 = m

    Multiply both sides by 3

    x1 + x2 + x3 = 3 m

    Average weight of four pieces:

    ( x1 + x2 + x3 + x4 ) / 4 = 2 m

    ___________________
    Remark:

    ( x1 + x2 + x3 = 3 m )

    so:
    __________________

    ( 3 m + x4 ) / 4 = 2 m

    Multiply both sides by 4

    3 m + x4 = 8 m

    Subtract 3 m to both sides

    3 m + x4 - 3 m = 8 m - 3 m

    x4 = 5 m

    The weight of the extra piece = 5 m

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