A food server examines the amount of money earned in tips after working an 8-hour shift. The server has a total of $153 in denominations of $1, $5, $10, and $20 bills. The total number of paper bills is 40. 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. (Assume x = number of $1 bills, y = number of $5 bills, z = number of $10 bills, and w = number of $20 bills.) z+ 153 y + Z+ w = 40 -1 Use matrices to find the number of each denomination. $1 bill(s) $5 bill(s) $10 bill(s) $20 bill(s)
A food server examines the amount of money earned in tips after working an 8-hour shift. The server has a total of $153 in denominations of $1, $5, $10, and $20 bills. The total number of paper bills is 40. 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. (Assume x = number of $1 bills, y = number of $5 bills, z = number of $10 bills, and w = number of $20 bills.) z+ 153 y + Z+ w = 40 -1 Use matrices to find the number of each denomination. $1 bill(s) $5 bill(s) $10 bill(s) $20 bill(s)
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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Transcribed Image Text:A food server examines the amount of money earned in tips after working an 8-hour shift. The server has a total of $153 in denominations of $1, $5, $10, and $20 bills. The total number of paper bills is 40. 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. (Assume
x = number of $1 bills, y = number of $5 bills, z = number of $10 bills, and w = number of $20 bills.)
X +
y +
153
y +
40
y
Use matrices to find the number of each denomination.
$1 bill(s)
$5 bill(s)
$10 bill(s)
W =
$20 bill(s)
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