To write a system of equations to calculate the number of dimes and quarters.
Answer to Problem 51SGR
Number of quarters: 10
Number of dimes: 15
Explanation of Solution
Given:
Value of 25 coins both dimes and quarter is $4.00.
Concept used:
Assume separate variables for each object. Form two equations with the variables. Use elimination method and solve the system of equations.
Calculation:
Let x be the number of quarters and y be the number of dimes.
We know that the value of a quarter is $0.25 and the value of a dime is $0.10.
The total number of coins in the piggy bank is 25.
The value of 25 coins is $4.00 while the value of dime is $0.10 and the value of quarter is $0.25
Multiplying (2) with 4,
Subtracting (3) from (1),
Dividing 0.6 on both sides,
Substituting the value of y in (1),
Substituting 15 on both sides,
Conclusion:
The piggy bank has 10 quarters and 15 dimes.
Chapter 6 Solutions
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
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