1. A grocery store sells two types of breakfast cereals, Cereal A and Cereal B. Breakfast cereals often list their nutritional information on their containers. The number of calories and the amounts of protein and carbohydrates for two cereals is given in the following table. Nutrient Cereal A Cereal B Calories 110 150 Protein (g) Carbohydrates (g) 4 20 18 Suppose you want to eat a mixture of the two cereals that contains exactly 350 calories, 8g of protein, and 48g of carbohydrates. (a) Set up a system of equations for this problem. Clearly state what the variables in your equations represent. (b) Write the down the associated augmented matrix for the system of equations in (a). (c) Does such a mixture of the two cereals exist? Justify your answer.
1. A grocery store sells two types of breakfast cereals, Cereal A and Cereal B. Breakfast cereals often list their nutritional information on their containers. The number of calories and the amounts of protein and carbohydrates for two cereals is given in the following table. Nutrient Cereal A Cereal B Calories 110 150 Protein (g) Carbohydrates (g) 4 20 18 Suppose you want to eat a mixture of the two cereals that contains exactly 350 calories, 8g of protein, and 48g of carbohydrates. (a) Set up a system of equations for this problem. Clearly state what the variables in your equations represent. (b) Write the down the associated augmented matrix for the system of equations in (a). (c) Does such a mixture of the two cereals exist? Justify your answer.
Algebra for College Students
10th Edition
ISBN:9781285195780
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter11: Systems Of Equations
Section11.CT: Test
Problem 24CT
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