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 + Z+ w- 153 X + 40 -1 Use matrices to find the number of each denomination. $1 bill(s) $5 bill(s) $10 bill(s) $20 bill(s)

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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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 +
W = 153
Z+
x +
y +
W =
40
y
%3D
y
-1
%3D
Use matrices to find the number of each denomination,
$1 bill(s)
$5 bill(s)
$10 bill(s)
y%3D
$20 bill(s)
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 + W = 153 Z+ x + y + W = 40 y %3D y -1 %3D Use matrices to find the number of each denomination, $1 bill(s) $5 bill(s) $10 bill(s) y%3D $20 bill(s)
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