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math

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a basket of with 12 apples has a mass of 3105 grams. the same basket with 7 apples has a mass of 1,980 grams. each apple has the same mass. what is the mass of the basket?

  • math -

    a = mass of one aple

    b = mass of basket


    1 basket :

    12 a + b = 3105 Subtract 12 a to both sides

    12 a + b - 12 b = 3105 - 12 a

    b = 3105 - 12 a


    2 basket :

    7 a + b = 1980

    7 a + 3105 - 12 a = 1980

    - 5 a + 3105 = 1980 Subtract 3105 to both sides

    - 5 a + 3105 - 3105 = 1980 - 3105

    - 5 a = -1125 Divide both sides by - 5

    - 5 a / - 5 = - 1125 / - 5

    a = 225 grams


    b = 3105 - 12 a

    b = 3105 - 12 * 225

    b = 3105 - 2700

    b = 405 grams


    Proof :

    12 a + b = 3105

    12 * 225 + 405 = 3105

    2700 + 405 = 3105

    3105 = 3105



    7 a + b = 1980

    7 * 225 + 405 = 1980

    1575 + 405 = 1980

    1980 = 1980

  • math -

    1 basket :

    12 a + b = 3105 Subtract 12 a to both sides

    12 a + b - 12 a = 3105 - 12 a

    b = 3105 - 12 a

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