Concept explainers
To find: the number of coins of each type
Answer to Problem 44RE
The value on number of nickels is
Explanation of Solution
Given:
Total number of coins is
Total amount of the coins is
Calculation:
Consider the data
Total number of coins is
Values of dimes is five time value of nickels
Total amount of the coins is
Let
Convert each fact in the problem to an equation.
Recollect that, the coin cost of nickel is
So,
The total value of number of nickel is
The total value of number of dimes is
As the value of dimes is
And total cost is
So,
Therefore, the system of equations is
Use these together to solve the system. Change the system to triangular form by eliminating
The work is shown as follows.
So, the equivalent system one step closer to triangular form is
The system is in triangular form. Use back substitution to solve the system. From the second equation,
Back substitute
Therefore, the solution to the system of equations is
Thus, the value on number of nickels is
Conclusion: The value on number of nickels is
Chapter 10 Solutions
Precalculus: Mathematics for Calculus - 6th Edition
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