A food server examines the amount of money earned in tips after working an 8-hour shift. The server has a total of $191 in denominations of $1, $5, $10, and $20 bills. The total number of paper bills is 53. 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 = 191 z + W = 53 y - x - -1 Use matrices to find the number of each denomination. $1 bill(s) $5 bill(s) $10 bill(s) $20 bill(s) x3= y = z =
A food server examines the amount of money earned in tips after working an 8-hour shift. The server has a total of $191 in denominations of $1, $5, $10, and $20 bills. The total number of paper bills is 53. 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 = 191 z + W = 53 y - x - -1 Use matrices to find the number of each denomination. $1 bill(s) $5 bill(s) $10 bill(s) $20 bill(s) x3= y = z =
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
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 $191 in denominations of $1, $5, $10, and $20 bills. The total number of paper bills is 53. 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 +
у +
z +
w = 191
X +
y +
z +
53
W3=
y -
-1
Use matrices to find the number of each denomination.
X =
$1 bill(s)
y =
$5 bill(s)
z =
$10 bill(s)
w =
$20 bill(s)
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 5 images
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
