Question 960953
:
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