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3 A wine producer has three wine varieties at various alcohol concentrations. varitey B has 20% alcohol and variety C has 12% alcohol. How many milliliters of each variety should she use to make 750 mL bottle of wine of 12% alcohol, if she must use 4 times as much of the variety A as the variety C? Set up a system of linear equations to determine how many millimeters of each variety were use. Let x be the number of millimeters of variety A, y be the number of millimeters of variety B and z be the number of millimeters of variety C. Make sure you justify your answer by showing all the steps. Sofre the system of linear equations you found in part (a) using Gaussian elimination on an augmented matrix. You need to use elementary row operations to reduce your augmented matrix into row-echelon form. Make sure you write down the elementary row operations that you use at each of the steps and give exact solution If you solve the system using other method, you will get 0. Make antiftr vour anrer by showing all the steps.

3 A wine producer has three wine varieties at various alcohol concentrations. varitey B has 20% alcohol and variety C has 12% alcohol. How many milliliters of each variety should she use to make 750 mL bottle of wine of 12% alcohol, if she must use 4 times as much of the variety A as the variety C? Set up a system of linear equations to determine how many millimeters of each variety were use. Let x be the number of millimeters of variety A, y be the number of millimeters of variety B and z be the number of millimeters of variety C. Make sure you justify your answer by showing all the steps. Sofre the system of linear equations you found in part (a) using Gaussian elimination on an augmented matrix. You need to use elementary row operations to reduce your augmented matrix into row-echelon form. Make sure you write down the elementary row operations that you use at each of the steps and give exact solution If you solve the system using other method, you will get 0. Make antiftr vour anrer by showing all the steps.

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 16EQ
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3 A wine producer has three wine varieties at various alcohol concentrations. Variety A has 10 % alcohol varitey B has 20% alcohol and variety C has 12% alcohol. How many milliliters of each variety should she use to make 750 mL bottle of wine of 12%% alcohol, if she must use 4 times as much of the variety A as the variety C? Set up a system of linear equations to determine how many millimeters of each variety were use. Letx be the number of millimeters of variety A, y be the number of millimeters of variety B and z be the number of millimeters of variety C. Mfake sure you justify your answer by showing all the steps. Solve the system of linear equations you found in part (a) using Gaussian elimination on an augmented matrix. You need to use elementary row operations to reduce your augmented matrix into row-echelon form. Make sure you write down the elementary row operations that you use at each of the steps and give exact solution. If you solve the system using other method, you will get 0. Make sure you justify your answer by showing all the steps.
Transcribed Image Text:3 A wine producer has three wine varieties at various alcohol concentrations. Variety A has 10 % alcohol varitey B has 20% alcohol and variety C has 12% alcohol. How many milliliters of each variety should she use to make 750 mL bottle of wine of 12%% alcohol, if she must use 4 times as much of the variety A as the variety C? Set up a system of linear equations to determine how many millimeters of each variety were use. Letx be the number of millimeters of variety A, y be the number of millimeters of variety B and z be the number of millimeters of variety C. Mfake sure you justify your answer by showing all the steps. Solve the system of linear equations you found in part (a) using Gaussian elimination on an augmented matrix. You need to use elementary row operations to reduce your augmented matrix into row-echelon form. Make sure you write down the elementary row operations that you use at each of the steps and give exact solution. If you solve the system using other method, you will get 0. Make sure you justify your answer by showing all the steps.
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