Question

4 15 points Direction: Make sure you show all the steps on paper. You can upload it as an image file on Canvas or email it to me. If you email it to me, make sure the time of your Exam submission match the time of your email. Question: Dora has 280 coins, all which are quarters, dimes, and nickels, in her piggy bank. The total value of the coins is $27.65. There are 2 times as many nickels as dimes. Let $n$ be the number of nickels, $d$ be the number of dimes and $q$ be the number of quarters. A. Set up a system of linear equations to determine how many coins of each type Dora has in her piggy bank in terms of $n$, $d$ and $q$. Make sure you justify your answer by showing all the steps. (5pts) B. Solve the system of linear equations you found in part (a) By 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. (9pts) C. How many coins of each type are there? (1pts)

          4
15 points
Direction: Make sure you show all the steps on paper. You can upload it as an image file on Canvas or email it to me. If you email it to me, make sure the time of your Exam
submission match the time of your email.
Question:
Dora has 280 coins, all which are quarters, dimes, and nickels, in her piggy bank. The total value of the coins is $27.65. There are 2 times as many nickels as dimes. Let $n$ be the
number of nickels, $d$ be the number of dimes and $q$ be the number of quarters.
A. Set up a system of linear equations to determine how many coins of each type Dora has in her piggy bank in terms of $n$, $d$ and $q$. Make sure you justify your answer by
showing all the steps. (5pts)
B. Solve the system of linear equations you found in part (a) By 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. (9pts)
C. How many coins of each type are there? (1pts)

4
15 points
Direction: Make sure you show all the steps on paper. You can upload it as an image file on Canvas or email it to me. If you email it to me, make sure the time of your Exam
submission match the time of your email.
Question:
Dora has 280 coins, all which are quarters, dimes, and nickels, in her piggy bank. The total value of the coins is 27.65. There are 2 times as many nickels as dimes. Letnbe the
number of nickels,dbe the number of dimes andqbe the number of quarters.
A. Set up a system of linear equations to determine how many coins of each type Dora has in her piggy bank in terms ofn,dandq. Make sure you justify your answer by
showing all the steps. (5pts)
B. Solve the system of linear equations you found in part (a) By 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. (9pts)
C. How many coins of each type are there? (1pts)

Added by Scott H.

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