Concept explainers
To find: The number of dimes with person if total number of quarters and dimes is 30.
Answer to Problem 8MPS
The person has no dimes since equation has no solution.
Explanation of Solution
Given:
Courtney has 30 quarters and dimes altogether. The total worth of quarters and dimes is
Calculation:
Consider
It is given that the sum of dimes and quarters are 30. Find the number of dimes in terms of
The fact is 1 dime is equal to 10 pennies whereas 1 quarter is equal to 25 pennies.
Convert the quarters, dimes and dollars into pennies.
Therefore,
The total amount is
Now write the equation as per the above information and find the value of
The number of quarters must be whole number but the resultant value of
Therefore, the equation has no solution for the number of dimes.
Conclusion:
Thus, the person has no dimes since equation has no solution.
Chapter 5 Solutions
Algebra: Structure And Method, Book 1
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