To find out how much money Alan has in quarters and dimes, we can break down the problem step by step:
1. **Identify the Values**:
- The value of a quarter is $0.25.
- The value of a dime is $0.10.
2. **Set up the Equations**:
- Let's use the information given in the question to set up the equations:
- Let the number of quarters be Q and the number of dimes be D.
- The total amount of money can be expressed as: 0.25Q + 0.10D = 14.40.
3. **Solve the Equations**:
- We need to find a combination of quarters and dimes that equals $14.40.
- There are multiple ways to solve this system of equations. One common method is to substitute one variable in terms of the other and then solve for the remaining variable.
4. **Example Solution**:
- Let's say Alan has 40 quarters and 40 dimes.
- The total value of quarters = 40 * $0.25 = $10.
- The total value of dimes = 40 * $0.10 = $4.
- The total money = $10 + $4 = $14.
By following these steps and adjusting the numbers of quarters and dimes, you can find the combination that gives Alan a total of $14.40 in quarters and dimes.
