A food server examines the amount of money earned in tips after working an 8-hour shift. The server has a total of $133 in denominations of $1, $5, $10, and $20 bills. The total number of paper bills is 39. 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 + z + W = 133 X + y + z + W = 39 у — X - y -1 Use matrices to find the number of each denomination. $1 bill(s) $5 bill(s) X = y = z = $10 bill(s) w = $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 $133 in denominations of $1, $5, $10, and $20 bills. The total number of paper bills is 39. 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 + z + W = 133 X + y + z + W = 39 у — X - y -1 Use matrices to find the number of each denomination. $1 bill(s) $5 bill(s) X = y = z = $10 bill(s) w = $20 bill(s)

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

A food server examines the amount of money earned in tips after working an 8-hour shift. The server has a total of $133 in denominations of $1, $5, $10, and $20 bills. The total number of paper bills is 39. 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 +
z +
W = 133
X +
y +
z +
W =
39
у —
X -
y
-1
Use matrices to find the number of each denomination.
$1 bill(s)
$5 bill(s)
X =
y =
z =
$10 bill(s)
w =
$20 bill(s)

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