dietitian at a hospital wants a patient to have a meal that has 84 grams of protein,104 grams of carbohydrates, and 127 milligrams of vitamin A. The hospital food service tells the dietitian that the dinner for today is salmon steak, baked eggs, and acorn squash. Each serving of salmon steak has 30 grams of protein, 20 grams of carbohydrates, and 1 milligram of vitamin A. Each serving of baked eggs contains 15 grams of protein, 3 grams of carbohydrates, and 15 milligrams of vitamin A. Each serving of acorn squash contains 3 grams of protein, 25 grams of carbohydrates, and 27 milligrams of vitamin A. How many servings of each food should the dietitian provide for the patient?
A dietitian at a hospital wants a patient to have a meal that has 84 grams of protein,104 grams of carbohydrates, and 127 milligrams of vitamin A. The hospital food service tells the dietitian that the dinner for today is salmon steak, baked eggs, and acorn squash. Each serving of salmon steak has 30 grams of protein, 20 grams of carbohydrates, and 1 milligram of vitamin A. Each serving of baked eggs contains 15 grams of protein, 3 grams of carbohydrates, and 15 milligrams of vitamin A. Each serving of acorn squash contains 3 grams of protein, 25 grams of carbohydrates, and 27 milligrams of vitamin A. How many servings of each food should the dietitian provide for the patient?
The dietitian should provide
nothing salmon steak (x),
nothing baked eggs (y), and
nothing acorn squash (z).
or
There are an infinite number of combinations of servings of salmon steak (x), baked eggs (y), and acorn squash (z) that the dietitian can provide. Using ordered triplets, the solution can be written as {(x,y,z) | x
nothing, y
nothing, z is any real number}.
(Simplify your answers. Type expressions using z as the variable as needed.)
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