Explanation Given Information: Fiber intake from three sources for three weeks. In the first week, he had 3 servings of a fiber supplement, 1 serving of oatmeal, and 4 servings of cereal, which in total 19g of fiber. The second week he had 2 servings of the fiber supplement, 4 servings of oatmeal, and 2 servings of cereal, which in total 25g. The third week he had 5 servings of the fiber supplement, 3 servings of oatmeal, and 2 servings of cereal, which in total 30g. Formula used: Step1: Convert the equations in standard form A x + B y + C z = D . Step2: From a pair of equation eliminate one variable by using the addition method. Step3: Now eliminate the same variable from a different pair of equations. Step4: After the completion of step2 and step3, we have two equations in two variables, solve these equations by substitution or addition method. Step5: Put values of a variable from step4 into any of the equation that has the third variable. Then get the value of the third variable. Calculation: Let x be the serving of fiber supplement, y be serving of the oatmeal and z be the serving of Cereal. According to the question, the equations are as follows: From 1 st week of serving we have: 3 x + y + 4 z = 19 ………… (1) From 2 nd week of serving we have: 2 x + 4 y + 2 z = 25 ………… (2) From 3 rd week of serving we have: 5 x + 3 y + 2 z = 30 ………… (3) Multiply the equation (1) by − 4 and add to the equation (2) to eliminate y: − 12 x − 4 y − 16 z = − 76 2 x + 4 y + 2 z = 25 _ − 10 x − 14 z = − 51 Multiply the equation (1) by − 3 and add to the equation (3) to eliminate y : − 9 x − 3 y − 12 z = − 57

4th Edition

ISBN: 9780073384511

Author: Julie Miller, Molly O'Neill, Nancy Hyde

Publisher: MCGRAW-HILL HIGHER EDUCATION

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Chapter 4.6, Problem 13PE

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Chapter 4.6, Problem 12PE

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The amount of fiber in one serving for the fiber supplement, the oatmeal and the cereal.

Solution Summary: The author calculates the amount of fiber in one serving for the fiber supplement, the oatmeal, and the cereal.

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To calculate: The amount of fiber in one serving for the fiber supplement, the oatmeal and the cereal.

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