Step 1To find the equations for the given model, first define the variables as given below.x = number of $1 billsy = number of $5 billsz = number of $10 billsw = number of $20 billsAs per the given conditions, the system of linear equations will be as follows.+ 5y + 10z + 20w = 3416+ y +z +W =307W =- X+ y10Write the associated augmented matrix for the system.15 10 20 34161.13071:10 0 :10 A bank teller is counting the total amount of money in a cash drawer at the end of the shift. There is a total of$3416 in denominations of $1, $5, $10, and $20 bills. The total number of paper bills is 307. The number of$20 bills is twice the number of $1 bills, and the number of $5 bills is 10 more than the number of $1 bills.Write a system of linear equations to represent the situation. Then use matrices to find the number of eachdenomination.

We have given some amount of bills and the total amount of bills and also the total number of bills…

Answered: As per the given conditions, the system…

As per the given conditions, the system of linear equations will be as follows. + 5y + 10z + 20w = 3416 + y + z + w = 307 w = - X + y 10 %3D

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter5: Solving Systems Of Linear Equations

Section5.4: Solving Special Systems Of Linear Equations

Problem 15Q

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Question

Step 1
To find the equations for the given model, first define the variables as given below.
x = number of $1 bills
y = number of $5 bills
z = number of $10 bills
w = number of $20 bills
As per the given conditions, the system of linear equations will be as follows.
+ 5y + 10z + 20w = 3416
+ y +
z +
W =
307
W =
- X
+ y
10
Write the associated augmented matrix for the system.
15 10 20 3416
1.
1
307
1:
1
0 0 :
10

A bank teller is counting the total amount of money in a cash drawer at the end of the shift. There is a total of
$3416 in denominations of $1, $5, $10, and $20 bills. The total number of paper bills is 307. The number of
$20 bills is twice the number of $1 bills, and the number of $5 bills is 10 more than the number of $1 bills.
Write a system of linear equations to represent the situation. Then use matrices to find the number of each
denomination.

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