Math Problem Statement
John has four more nickels than dimes in his pocket, for a total of $1.25. Which equation could be used to
determine the number of dimes, x, in his pocket?
Solution
Let's define the variables and translate the situation into a mathematical equation:
- Number of dimes (x): Let represent the number of dimes John has in his pocket.
- Number of nickels: Since John has four more nickels than dimes, the number of nickels is .
Coin Values:
- A dime is worth dollars.
- A nickel is worth dollars.
Total Value:
The total value of the coins in John's pocket is dollars. The equation for this relationship is:
Simplifying the Equation:
Expand and simplify:
The simplified equation is:
This equation can be solved to find , the number of dimes.
Would you like me to solve this equation or provide further clarification? 😊
Related Questions:
- What is the exact number of dimes John has?
- How many nickels are in John's pocket?
- How does the value of each type of coin contribute to the total?
- Can this problem be solved using integers instead of decimals? Why or why not?
- What would the equation look like if John had four fewer nickels than dimes?
Tip:
When solving money-related problems, converting values into cents (e.g., 10¢ and 5¢) can help avoid decimal arithmetic errors.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Currency Arithmetic
Formulas
0.10x + 0.05(x + 4) = 1.25
Theorems
Basic properties of equality
Suitable Grade Level
Grades 6-8
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