Solve the homogeneous linear system corresponding to the given coefficient matrix. 48. Tips A food server examines the amount of money earned in tips after working an 8-hour shift. The server has a total of $95 in denominations of $1, $5, $10, and $20 bills. The total number of paper bills is 26. The number of $5 bills is 4 times the number of $10 bills, and the number of $1 bills is 1 less than twice the number of $5 bills. Write a system of linear equations to represent the situation. Then use matrices to find the number of each denomination.
Solve the homogeneous linear system corresponding to the given coefficient matrix. 48. Tips A food server examines the amount of money earned in tips after working an 8-hour shift. The server has a total of $95 in denominations of $1, $5, $10, and $20 bills. The total number of paper bills is 26. The number of $5 bills is 4 times the number of $10 bills, and the number of $1 bills is 1 less than twice the number of $5 bills. Write a system of linear equations to represent the situation. Then use matrices to find the number of each denomination.
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter11: Matrices And Determinants
Section11.CR: Chapter Review
Problem 3CC
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Question
Solve the homogeneous linear system corresponding to the given
coefficient matrix.
48. Tips A food server examines the amount of money
earned in tips after working an 8-hour shift. The server
has a total of $95 in denominations of $1, $5, $10,
and $20 bills. The total number of paper bills is 26.
The number of $5 bills is 4 times the number of $10
bills, and the number of $1 bills is 1 less than twice the
number of $5 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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