Set Up Correct Equations...1

[mathdad]

Do not solve. Set up the correct equations.

A dietitian at a hospital wants a patient to have a meal that has 73 grams of protein, 51 grams of carbohydrates, and 68 milligrams of vitamin A. The hospital food service tells the dietitian that the dinner for today is salmon steak, bakedeggs, and acorn squash. Each serving of salmon steak has 40 grams of protein, 20 grams of carbohydrates, and 1 mil-ligram of vitamin A. Each serving of baked eggs contains15 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 37 milligrams of vitamin A. How many servings of each food should the dieti-tian provide for the patient?

My Work:

Let x = serving 1

Let y = serving 2

Let z = serving 3

40x+ 15y + 3z = 73
20x + 3y + 25z = 51
x + 15y + 37z = 68

Correct?

 

[JeffM]

What do serving 1, serving 2, and serving 3 MEAN? You do not say.

If serving 1 means number of servings of salmon, serving 2 means number of servings of baked eggs, and serving 3 means number of servings of acorn squash, then your equations are correct? Otherwise, they are wrong.

 

[mathdad]

What do serving 1, serving 2, and serving 3 MEAN? You do not say.

If serving 1 means number of servings of salmon, serving 2 means number of servings of baked eggs, and serving 3 means number of servings of acorn squash, then your equations are correct? Otherwise, they are wrong.

Yes, serving 1 = salmon, serving 2 = eggs and serving 3 = acorn. Thanks.