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Math Help - System of Linear Equations

  1. #1
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    Post System of Linear Equations

    A man is preparing a meal consisting of foods A,B,C.Each ounce of food A contains 2 units of protein ,3 units of fat & 4 units of carbohydrates.Each ounce of food B contains 3,2,1 units of protein ,fats and carbohydrates resp. And each ounce of food C contains 3,3,2 units of P, F and C.H resp.

    If the meal must provide exactly 25 units of P, 24 units of F and 21 units of C.H, thenhow many ounces of each food should be used,by taking the required units of P,F and C.H as x,y,z.

    Thanks
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  2. #2
    is up to his old tricks again! Jhevon's Avatar
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    Quote Originally Posted by abds View Post
    A man is preparing a meal consisting of foods A,B,C.Each ounce of food A contains 2 units of protein ,3 units of fat & 4 units of carbohydrates.Each ounce of food B contains 3,2,1 units of protein ,fats and carbohydrates resp. And each ounce of food C contains 3,3,2 units of P, F and C.H resp.

    If the meal must provide exactly 25 units of P, 24 units of F and 21 units of C.H, thenhow many ounces of each food should be used,by taking the required units of P,F and C.H as x,y,z.

    Thanks
    let x be the amount of A needed, y the amount of B needed, and z be the amount of C needed.

    for Protein:
    2x + 3y + 3z = 25 ............(1)

    for Fat:
    3x + 2y + 3z = 24 ............(2)

    for Carbs:

    4x + y + 2z = 21 ..............(3)


    you have three equations with three unknowns. solve the system simultaneously
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  3. #3
    Member arpitagarwal82's Avatar
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    Quote Originally Posted by abds View Post
    A man is preparing a meal consisting of foods A,B,C.Each ounce of food A contains 2 units of protein ,3 units of fat & 4 units of carbohydrates.Each ounce of food B contains 3,2,1 units of protein ,fats and carbohydrates resp. And each ounce of food C contains 3,3,2 units of P, F and C.H resp.

    If the meal must provide exactly 25 units of P, 24 units of F and 21 units of C.H, thenhow many ounces of each food should be used,by taking the required units of P,F and C.H as x,y,z.

    Thanks
    let food A be x ounce, B be y and C be z

    so 2x + 3y + 3z = 25
    3x + 2y + 3z = 24
    4x + y + 2z = 21

    Now solve these equation for x,y and z
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