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. 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 + W = 307 - 2x w = -2r - x + y 10 Write the associated augmented matrix for the system. 1 5 10 20 : 3416 1 1 1 1 : 307 -2 0 1: -1 1. 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. 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 + W = 307 - 2x w = -2r - x + y 10 Write the associated augmented matrix for the system. 1 5 10 20 : 3416 1 1 1 1 : 307 -2 0 1: -1 1. 10 ...
Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter5: Systems Of Linear Equations
Section5.5: Solve Mixture Applications With Systems Of Equations
Problem 5.94TI: Translate to a system of equations and solve: Sammy has most of the ingredients he needs to make a...
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