SOLUTION: I think this is the right subject to place this in? I'm trying to figure how to set it up to solve, and solve, of course! can you please help me? You are preparing a meal for so

Question 960953: I think this is the right subject to place this in? I'm trying to figure how to set it up to solve, and solve, of course! can you please help me?
You are preparing a meal for some dinner guests. The meal will consist of
chicken breast, mashed potatoes, and carrots. A serving of chicken
contains 140 Cal, 27g of protein, and 64mg of sodium. A serving of
mashed potatoes contains 160 Cal, 4g of protein, and 636mg of sodium. A
serving of carrots contains 125 Cal, 8g of protein, and 139mg of sodium. If
the meal is to contain a total of 415 Cal, 50.5g of protein, and 553mg of
sodium then how many servings of each do you need to use?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
:
The meal will consist of
chicken breast, mashed potatoes, and carrots.
A serving of chicken contains 140 Cal, 27g of protein, and 64mg of sodium.
A serving of mashed potatoes contains 160 Cal, 4g of protein, and 636mg of sodium.
A serving of carrots contains 125 Cal, 8g of protein, and 139mg of sodium.
If
the meal is to contain a total of 415 Cal, 50.5g of protein, and 553mg of
sodium
then how many servings of each do you need to use?
:
Let a = amount of chicken
let p = amt of potatoes
let c = amt of carrots
:
Write an equation for total calories
Write an equation for total protein
Write an equation for total sodium
:
140a + 160p + 125c = 414
27a + 4p + 8c = 50.5
64a + 636p + 139c = 553
:
we now have a 3 X 4 matrix:
140 160 125 414
27 4 8 50.5
64 636 139 553
:
Using the matrix feature on my Ti83, I came up with
rounded to the nearest 10th of a serving
Chicken: 1.5
Potatoes: .5
carrots: 1.0

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