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1. Jorge has 250 coins, all which are quarters, dimes, and nickels, in his piggy bank The total value of the coins is S39.95. There are 2 times as many nickels as dimes. Set up a system of linear equations to detemine how many coins of each type Jorge has in his piggy bank Let q be the number of quarters, d be the number of dimes and n be the number of nickels. Make sure you justify your answer by showing all the steps. a. b. Solve the system of linear equations you found in part (a) By Gaussian Elimination on 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. c. How many coins of each type are there?

1. Jorge has 250 coins, all which are quarters, dimes, and nickels, in his piggy bank The total value of the coins is S39.95. There are 2 times as many nickels as dimes. Set up a system of linear equations to detemine how many coins of each type Jorge has in his piggy bank Let q be the number of quarters, d be the number of dimes and n be the number of nickels. Make sure you justify your answer by showing all the steps. a. b. Solve the system of linear equations you found in part (a) By Gaussian Elimination on 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. c. How many coins of each type are there?

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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1. Jorge has 250 coins, all which are quarters, dimes, and nickels, in his piggy bank. The total value of the coins is $39.95. There are 2 times as many nickels as dimes. Set up a system of linear equations to determine how many coins of each type Jorge has in his piggy bank Let q be the number of quarters, d be the number of dimes and n be the number of nickels. Make sure you justify your answer by showing all the steps. a. b. Solve the system of linear equations you found in part (a) By Gaussian Elimination on 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. C. How many coins of each type are there?
Transcribed Image Text:1. Jorge has 250 coins, all which are quarters, dimes, and nickels, in his piggy bank. The total value of the coins is $39.95. There are 2 times as many nickels as dimes. Set up a system of linear equations to determine how many coins of each type Jorge has in his piggy bank Let q be the number of quarters, d be the number of dimes and n be the number of nickels. Make sure you justify your answer by showing all the steps. a. b. Solve the system of linear equations you found in part (a) By Gaussian Elimination on 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. C. How many coins of each type are there?
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