A dietician works in a hospital and prepares meals under the guidance of a physi

Question

A dietician works in a hospital and prepares meals under the guidance of a physician. Suppose that for a particular patient, a physician prescribes a meal to have 500 calories, 35 g of protein, and 220 mg of vitamin C. The dietician decides to prepare the meal using steak (each 3-oz serving contains 300 Cal, 20 g of protein, and no vitamin C), baked potatoes (one baked potato contains 100 Cal, 5 g of protein, and 20 mg of vitamin C), and Brussels sprouts (one 156-g serving contains 50 Cal, 5 g of protein, and 100 mg of vitamin C). How many servings of each food are required to satisfy the physician's requirements?

Explanation / Answer

Let x,y,z be the quantities of each serving of steak, potatoes and sprouts

300x+100y+50Z=500

20x+5y+5z=35

20x+100y= 220

Solving for x,y,z we find that x=1,y=1,z=2 is a feasible solution .

Hence, 3-oz of steak, one baked potato and 312 g of sprouts should be srved

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