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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 and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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) 2 4 Yeal Carbohydrates (g) 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.
Transcribed Image Text: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) 2 4 Yeal Carbohydrates (g) 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.
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