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Math Help - Functions word problem?

  1. #1
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    Functions word problem?

    A middle aged woman was advised by her doctor to increase her intake of calcium and vit. A. She needs to drink milk and orange to provide her 500 milligrams of calcium and 1,200 micrograms of vitamin A. She learned that an ounce of mil contains 37 milligrams of calcium and 57 micrograms of vit A, while an ounce of orange juice contains 5 milligrams of calcium and 65 micrograms of vitamin A. How many ounces of milk and orange juice should the woman drink each day to meet the required amount of vitamin A and calcium?

    I don't have a clue on how to even start solving this problem.
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  2. #2
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    Quote Originally Posted by strigy View Post
    A middle aged woman was advised by her doctor to increase her intake of calcium and vit. A. She needs to drink milk and orange to provide her 500 milligrams of calcium and 1,200 micrograms of vitamin A. She learned that an ounce of mil contains 37 milligrams of calcium and 57 micrograms of vit A, while an ounce of orange juice contains 5 milligrams of calcium and 65 micrograms of vitamin A. How many ounces of milk and orange juice should the woman drink each day to meet the required amount of vitamin A and calcium?

    I don't have a clue on how to even start solving this problem.
    it can be solved through simultaneous equations.

    let ounce(s) of milk = x , ounce(s) of orange juice = y

    so, for calcium you have this equation;
    37x + 5y = 500
    and for vitamin a;
    57x + 65y =1200

    solving both equation simultaneously gives you the answer.

    Alternatively; you can solve using matrices
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