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 650 calories, 45 g of protein, and 340 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? How many servings of steak are required? How many baked potatoes are required? How many servings of Brussels sprouts are required?

Explanation / Answer

let number of steak =x; baked potatoes =y; Brussels =z

therefore 300x+100y+50z=650 for calories

20x+5y+5z=45 for protien

20y+100z=340 for vitamin C

for solving aboveL z=3 ; y=2 ; x=1

hence number of servings of steak =1

number of servings of baked potatoes =2

number of servings of Brussels =3

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