To find: The number of each denomination by solving the system of equations using matrices.
Answer to Problem 96E
Number of $1 bill
Number of $5 bill
Number of $10 bill
Number of $20 bill
Explanation of Solution
Given information: A server has a total of $95 in denominations of $1, $5, $10 and $20. Total number of paper bills is 26. Number of $5 bill is 4 times greater than $10 bill and number of $1 bill is 1 less than twice number of $5 bill.
Calculation:
Let,
Using the given information we can make the system of equations as,
Now the augmented matrix can be written as,
Using row transformations,
The matrix is now in reduced row echelon form.
Converting back to the system of linear equations,
Therefore,
Number of $1 bill
Number of $5 bill
Number of $10 bill
Number of $20 bill
Chapter 7 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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