Explanation Given: Roasted chicken contains 140 Cal, 27 g of protein and 64 mg of sodium. One-cup serving of mashed potatoes contains 160 Cal, 4 g of protein, and 636 mg of sodium. One-cup serving of peas contains 125 Cal, 8 g of protein, and 139 mg of sodium. Procedure used: “1. Familiarize the problem. 2. Translate the problem. 3. Carry out the simplifications. 4. Check out the solutions. 5. State the answer.” Calculation: Suppose x represents the number of servings of chicken, y represents the number of servings of mashed potato and z represents the number of servings of peas. Translate the given problems as follows. Given the amount of calories required is 415 Cal. That is, 140 x + 160 y + 125 z = 415 or 28 x + 32 y + 25 z = 83 . As the amount of protein required is 50.5 g, 27 x + 4 y + 8 z = 50.5 . Also, the amount of sodium required is 553 mg. That is, 64 x + 636 y + 139 z = 553 . Solve the system of equations, 28 x + 32 y + 25 z = 83 (1) 27 x + 4 y + 8 z = 50.5 (2) 64 x + 636 y + 139 z = 553 (3) Multiply equation (1) with − 27 and equation (2) with 28 and add the resultant equations as follows. − 756 x − 864 y − 675 z = − 2241 [ Multiply both the sides with − 27 ] 756 x + 112 y + 224 z = 1414 _ [ Multiply both the sides with 28 ] − 752 y − 451 z = − 827 752 y + 451 z = 827 ( 4 ) Multiply equation (1) with 64 and equation (3) with − 28 and add the resultant equations as follows. 1792 x + 2048 y + 1600 z = 5312 [ Multiply both the sides with 64 ] − 1792 x − 17808 y − 3892 z = − 15484 _ [ Multiply both the sides with − 28 ] x

6th Edition

ISBN: 2810000027802

Author: BITTINGER

Publisher: PEARSON

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Chapter 6.2, Problem 28E

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The amount of each food required so that the meal contain 415 Cal, 50.5 g of protein and 553 mg of sodium.

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Chapter 6.2, Problem 27E

Chapter 6.2, Problem 29E

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Chapter 6 Solutions

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Ch. 6.1 - Prob. 11E Ch. 6.1 - Prob. 12E Ch. 6.1 - Solve graphically. x y = 6, y = 2x Ch. 6.1 - Prob. 14E Ch. 6.1 - Prob. 15E Ch. 6.1 - Prob. 16E Ch. 6.1 - Prob. 17E Ch. 6.1 - Prob. 18E Ch. 6.1 - Prob. 19E Ch. 6.1 - Prob. 20E Ch. 6.1 - Prob. 21E Ch. 6.1 - Prob. 22E Ch. 6.1 - Prob. 23E Ch. 6.1 - Prob. 24E Ch. 6.1 - Prob. 25E Ch. 6.1 - Prob. 26E Ch. 6.1 - Prob. 27E Ch. 6.1 - Prob. 28E Ch. 6.1 - Prob. 29E Ch. 6.1 - Prob. 30E Ch. 6.1 - Solve using the elimination method. Also determine...Ch. 6.1 - Prob. 32E Ch. 6.1 - Prob. 33E Ch. 6.1 - Solve using the elimination method. Also determine...Ch. 6.1 - Solve using the elimination method. 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[2 4 0 9]Ch. 6.3 - Prob. 4E Ch. 6.3 - Prob. 5E Ch. 6.3 - Prob. 6E Ch. 6.3 - Prob. 7E Ch. 6.3 - Prob. 8E Ch. 6.3 - Prob. 9E Ch. 6.3 - Prob. 10E Ch. 6.3 - Prob. 11E Ch. 6.3 - Prob. 12E Ch. 6.3 - Prob. 13E Ch. 6.3 - Prob. 14E Ch. 6.3 - Solve the system of equations using Gaussian...Ch. 6.3 - Solve the system of equations using Gaussian...Ch. 6.3 - Prob. 17E Ch. 6.3 - Prob. 18E Ch. 6.3 - Solve the system of equations using Gaussian...Ch. 6.3 - Solve the system of equations using Gaussian...Ch. 6.3 - Solve the system of equations using Gaussian...Ch. 6.3 - Solve the system of equations using Gaussian...Ch. 6.3 - Solve the system of equations using Gaussian...Ch. 6.3 - Prob. 24E Ch. 6.3 - Solve the system of equations using Gaussian...Ch. 6.3 - Prob. 26E Ch. 6.3 - Solve the system of equations using Gaussian...Ch. 6.3 - Prob. 28E Ch. 6.3 - Prob. 29E Ch. 6.3 - Prob. 30E Ch. 6.3 - Solve the system of equations using Gaussian...Ch. 6.3 - Prob. 32E Ch. 6.3 - Prob. 33E Ch. 6.3 - Prob. 34E Ch. 6.3 - Prob. 35E Ch. 6.3 - Prob. 36E Ch. 6.3 - Prob. 37E Ch. 6.3 - Prob. 38E Ch. 6.3 - Solve the system of equations using Gaussian...Ch. 6.3 - Prob. 40E Ch. 6.3 - Use Gaussian elimination or GaussJordan...Ch. 6.3 - Prob. 42E Ch. 6.3 - Prob. 43E Ch. 6.3 - Prob. 44E Ch. 6.3 - Prob. 45E Ch. 6.3 - Prob. 46E Ch. 6.3 - Prob. 47E Ch. 6.3 - Prob. 48E Ch. 6.3 - Prob. 49E Ch. 6.3 - Prob. 50E Ch. 6.3 - Prob. 51E Ch. 6.3 - Prob. 52E Ch. 6.3 - In Exercises 53 and 54, three solutions of the...Ch. 6.3 - Prob. 54E Ch. 6.3 - Prob. 55E Ch. 6.3 - Prob. 56E Ch. 6.3 - Prob. 57E Ch. 6.3 - Prob. 58E Ch. 6.3 - Prob. 59E Ch. 6.3 - Prob. 60E Ch. 6.3 - Prob. 61E Ch. 6.3 - Prob. 62E Ch. 6.4 - Prob. 1E Ch. 6.4 - Prob. 2E Ch. 6.4 - Prob. 3E Ch. 6.4 - Prob. 4E Ch. 6.4 - For Exercises 520, let...Ch. 6.4 - Prob. 6E Ch. 6.4 - Prob. 7E Ch. 6.4 - Prob. 8E Ch. 6.4 - Prob. 9E Ch. 6.4 - Prob. 10E Ch. 6.4 - Prob. 11E Ch. 6.4 - Prob. 12E Ch. 6.4 - Prob. 13E Ch. 6.4 - For Exercises 520, let...Ch. 6.4 - For Exercises 520, let...Ch. 6.4 - Prob. 16E Ch. 6.4 - Prob. 17E Ch. 6.4 - Prob. 18E Ch. 6.4 - Prob. 19E Ch. 6.4 - Prob. 20E Ch. 6.4 - Prob. 21E Ch. 6.4 - Prob. 22E Ch. 6.4 - Prob. 23E Ch. 6.4 - Prob. 24E Ch. 6.4 - Prob. 25E Ch. 6.4 - Prob. 26E Ch. 6.4 - Prob. 27E Ch. 6.4 - Prob. 28E Ch. 6.4 - Produce. 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Suppose that it takes...Ch. 6.7 - Prob. 78E Ch. 6.7 - Prob. 79E Ch. 6.7 - Prob. 80E Ch. 6.7 - Prob. 81E Ch. 6.7 - Prob. 82E Ch. 6.7 - Prob. 83E Ch. 6.7 - Prob. 84E Ch. 6.7 - Prob. 85E Ch. 6.7 - Graph the system of inequalities. y x + 1, y x2 Ch. 6.7 - Prob. 87E Ch. 6.7 - Prob. 88E Ch. 6.7 - Prob. 89E Ch. 6.7 - Prob. 90E Ch. 6.7 - Prob. 91E Ch. 6.8 - Prob. 1E Ch. 6.8 - Prob. 2E Ch. 6.8 - Prob. 3E Ch. 6.8 - Prob. 4E Ch. 6.8 - Prob. 5E Ch. 6.8 - Prob. 6E Ch. 6.8 - Prob. 7E Ch. 6.8 - Prob. 8E Ch. 6.8 - Prob. 9E Ch. 6.8 - Prob. 10E Ch. 6.8 - Prob. 11E Ch. 6.8 - Prob. 12E Ch. 6.8 - Prob. 13E Ch. 6.8 - Decompose into partial fractions. Check your...Ch. 6.8 - Decompose into partial fractions. Check your...Ch. 6.8 - Prob. 16E Ch. 6.8 - Prob. 17E Ch. 6.8 - Prob. 18E Ch. 6.8 - Prob. 19E Ch. 6.8 - Decompose into partial fractions. Check your...Ch. 6.8 - Prob. 21E Ch. 6.8 - Prob. 22E Ch. 6.8 - Prob. 23E Ch. 6.8 - Prob. 24E Ch. 6.8 - Decompose into partial fractions. Check your...Ch. 6.8 - Prob. 26E Ch. 6.8 - Prob. 27E Ch. 6.8 - Prob. 28E Ch. 6.8 - Prob. 29E Ch. 6.8 - Prob. 30E Ch. 6.8 - Prob. 31E Ch. 6.8 - Prob. 32E Ch. 6.8 - Prob. 33E Ch. 6.8 - Prob. 34E Ch. 6.8 - Prob. 35E Ch. 6 - Determine whether the statement is true or false....Ch. 6 - Prob. 2MC Ch. 6 - Prob. 3MC Ch. 6 - Prob. 4MC Ch. 6 - Prob. 5MC Ch. 6 - Prob. 6MC Ch. 6 - Prob. 7MC Ch. 6 - Prob. 8MC Ch. 6 - Prob. 9MC Ch. 6 - Prob. 10MC Ch. 6 - Prob. 11MC Ch. 6 - Prob. 12MC Ch. 6 - Prob. 13MC Ch. 6 - Prob. 14MC Ch. 6 - Prob. 15MC Ch. 6 - Prob. 16MC Ch. 6 - Prob. 17MC Ch. 6 - Prob. 18MC Ch. 6 - Prob. 19MC Ch. 6 - Prob. 20MC Ch. 6 - Prob. 21MC Ch. 6 - Prob. 1RE Ch. 6 - Prob. 2RE Ch. 6 - Prob. 3RE Ch. 6 - Prob. 4RE Ch. 6 - Prob. 5RE Ch. 6 - Prob. 6RE Ch. 6 - Prob. 7RE Ch. 6 - Prob. 8RE Ch. 6 - Prob. 9RE Ch. 6 - Prob. 10RE Ch. 6 - Prob. 11RE Ch. 6 - Prob. 12RE Ch. 6 - Prob. 13RE Ch. 6 - Prob. 14RE Ch. 6 - Prob. 15RE Ch. 6 - Prob. 16RE Ch. 6 - Prob. 17RE Ch. 6 - Prob. 18RE Ch. 6 - Prob. 19RE Ch. 6 - Prob. 20RE Ch. 6 - Prob. 21RE Ch. 6 - Prob. 22RE Ch. 6 - Prob. 23RE Ch. 6 - Solve the system of equations using Gaussian...Ch. 6 - Prob. 25RE Ch. 6 - Coins. 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Jackson is taking a test...Ch. 6 - Decompose into partial fractions. 5(x+2)2(x+1)Ch. 6 - Prob. 61RE Ch. 6 - Prob. 62RE Ch. 6 - Prob. 63RE Ch. 6 - Prob. 64RE Ch. 6 - Prob. 65RE Ch. 6 - Prob. 66RE Ch. 6 - Prob. 67RE Ch. 6 - Prob. 68RE Ch. 6 - Prob. 69RE Ch. 6 - Prob. 1T Ch. 6 - Prob. 2T Ch. 6 - Prob. 3T Ch. 6 - Prob. 4T Ch. 6 - Prob. 5T Ch. 6 - Prob. 6T Ch. 6 - Prob. 7T Ch. 6 - Prob. 8T Ch. 6 - Prob. 9T Ch. 6 - Prob. 10T Ch. 6 - Prob. 11T Ch. 6 - Prob. 12T Ch. 6 - Prob. 13T Ch. 6 - Prob. 14T Ch. 6 - Prob. 15T Ch. 6 - Prob. 16T Ch. 6 - Prob. 17T Ch. 6 - Prob. 18T Ch. 6 - Prob. 19T Ch. 6 - Prob. 20T Ch. 6 - Prob. 21T Ch. 6 - Prob. 22T Ch. 6 - Prob. 23T Ch. 6 - Prob. 24T Ch. 6 - Prob. 25T

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The amount of each food required so that the meal contain 415 Cal, 50.5 g of protein and 553 mg of sodium.

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The amount of each food required so that the meal contain 415 Cal, 50.5 g of protein and 553 mg of sodium.

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Chapter 6 Solutions