Amanda has 21 coins in her piggy bank made up of nickels, dimes, and quarters. There are twice as many quarters as nickels and the total value of all the coins is $3.60. Let n= the number of nickels, d the number of dimes, and q the number of quarters. The system shown below represents this situation. • q = 2n • n+d+q = 21 • 0.05n + 0.10d +0.25g = 3.6 Amanda plans to set up an augmented matrix to solve the system. If she solves it correctly, how many quarters should be in her piggy bank? O 3 quarters O 6 quarters O 9 quarters O 12 quarters

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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Amanda has 21 coins in her piggy bank made up of nickels, dimes, and quarters. There are twice as many quarters as nickels and the total value of all the
coins is $3.60. Let n= the number of nickels, d = the number of dimes, and q= the number of quarters. The system shown below represents this
situation.
• q = 2n
• n+d+q = 21
• 0.05n + 0.10d +0.25q = 3.6
Amanda plans to set up an augmented matrix to solve the system. If she solves it correctly, how many quarters should be in her piggy bank?
O 3 quarters
O 6 quarters
O 9 quarters
O 12 quarters
Transcribed Image Text:Amanda has 21 coins in her piggy bank made up of nickels, dimes, and quarters. There are twice as many quarters as nickels and the total value of all the coins is $3.60. Let n= the number of nickels, d = the number of dimes, and q= the number of quarters. The system shown below represents this situation. • q = 2n • n+d+q = 21 • 0.05n + 0.10d +0.25q = 3.6 Amanda plans to set up an augmented matrix to solve the system. If she solves it correctly, how many quarters should be in her piggy bank? O 3 quarters O 6 quarters O 9 quarters O 12 quarters
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