My Math Forum help with this gauss elimination problem

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 September 5th, 2008, 07:04 PM #1 Newbie   Joined: Sep 2008 Posts: 1 Thanks: 0 help with this gauss elimination problem A dietitian is planning a meal of beef, corn, and carrots for a patient. The patient needs the meal to contain 75.9 grams of carbohydrate, 47.8 grams of protein and 23.4 grams of fat. The table below shows the number of grams of carbohydrate, protein, and fat in 100 grams of each food. Note that the total does not add to 100 grams due to the water and fiber content of each food. How much of each food should be used to give the patient the needed amount of each nutrient? Carbohydrate Protein Fat beef 1C 22P 12F corn 21C 3P 1F carrots 8C 1P 0F I have no idea how I should even put together equations..can someone please help?
 September 6th, 2008, 06:55 PM #2 Global Moderator     Joined: Nov 2006 From: UTC -5 Posts: 16,046 Thanks: 937 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms Re: help with this gauss elimination problem The equations would be C >= 75.9 P >= 47.8 F >= 23.4 C = a + 21b + 8c P = 22a + 3b + c F = 12a + b Can you take it from here?

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