Every day after work, when Jim comes home, he throws all of his spare change into a jar. Last week, his neice Jaimie came over and looked through the jar to remove all of the pennies for a school project. Jim wants to count the rest of the coins. The jar has 613 total coins in it, all of which are dimes, nickels, and quarters. In addition, when Jaimie looked through his coins, she noticed that he had three times as many nickels as dimes. If the total value of his change is $47.5, how many of each type of coin does Jim have? Write a system of equations; Solve using a matrix on your calculator. {You must show your system of equations and MATRIX FORM in your notes} Answer-- Jim has....  __________ dimes __________ nickels __________ quarters

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 52SE: A car wash offers the following optional services to the basic wash: clear coat wax, triple foam...
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Every day after work, when Jim comes home, he throws all of his spare change into a jar. Last week, his neice Jaimie came over and looked through the jar to remove all of the pennies for a school project. Jim wants to count the rest of the coins. The jar has 613 total coins in it, all of which are dimes, nickels, and quarters. In addition, when Jaimie looked through his coins, she noticed that he had three times as many nickels as dimes. If the total value of his change is $47.5, how many of each type of coin does Jim have?

Write a system of equations; Solve using a matrix on your calculator. {You must show your system of equations and MATRIX FORM in your notes}

Answer--

Jim has.... 

__________ dimes

__________ nickels

__________ quarters

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