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Jorge has 200 coins, all which are quarters, dimes, and nickels, in his piggy bank. The total value of the coins is $20.15. There are 3 times as many dimes as quarters. 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. 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 1. Make sure you justify your answer by showing all the steps. How many coins of each type are there?

Jorge has 200 coins, all which are quarters, dimes, and nickels, in his piggy bank. The total value of the coins is $20.15. There are 3 times as many dimes as quarters. 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. 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 1. Make sure you justify your answer by showing all the steps. How many coins of each type are there?

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. Jorge has 200 coins, all which are quarters, dimes, and nickels, in his piggy bank. The total value of the coins is $20.15. There are 3 times as many dimes as quarters. 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. а. 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 1. 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 200 coins, all which are quarters, dimes, and nickels, in his piggy bank. The total value of the coins is $20.15. There are 3 times as many dimes as quarters. 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. а. 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 1. Make sure you justify your answer by showing all the steps. c. How many coins of each type are there?
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