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Math Help - Help! Linear question?

  1. #1
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    Mar 2008
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    Help! Linear question?

    A diet calls for 2 units of fat, 3 units of protein, and 5 units of carbohydrate for a meal.

    Suppose food 1 has in each cupful: 10 units of fat, 1 unit of protein, and 2 units of carbohydrates.

    Suppose food 2 has in each cupful: 1 unit of fat, 5 units of protein, and 4 units of carbohydrates.

    Suppose food 3 has in each cupful: 1 units of fat, 2 units of protein, and 6 units of carbohydrates.

    Write down a linear system in three variables, whose solution will tell us how to make up a meal out of foods 1, 2 and 3. Say what the three variables represent.


    *give ur workings and a clear answer.
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  2. #2
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    Aug 2007
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    You want the equations with variables x1 being the cupfuls of food 1, x2 being cupfuls of food 2 and x3 being cupfuls of food 3.

    each equation corresponds to one of the components (fat, carb, protein).

    Then solve for the cupfuls.
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