One Fourth Of A Number Exceed One Feet Of A Succeeding Number By 3 Find The Number
Introduction
Math problems can be challenging, but with the right approach, they can be solved easily. In this article, we will discuss a math problem that involves finding a number based on a given condition. The problem states that one fourth of a number exceeds one fifth of a succeeding number by 3. We will break down the problem step by step and provide a solution.
Understanding the Problem
Let's assume the number we are looking for is x. According to the problem, one fourth of x exceeds one fifth of a succeeding number (x+1) by 3. We can represent this as an equation:
(1/4)x - (1/5)(x+1) = 3
Breaking Down the Equation
To solve the equation, we need to simplify it by finding a common denominator. The common denominator for 4 and 5 is 20. We can rewrite the equation as:
(5/20)x - (4/20)(x+1) = 3
Simplifying the Equation
We can simplify the equation by multiplying both sides by 20 to eliminate the fractions:
5x - 4(x+1) = 60
Expanding and Simplifying
We can expand the equation by distributing the -4 to the terms inside the parentheses:
5x - 4x - 4 = 60
Combining Like Terms
We can combine like terms by adding or subtracting the coefficients of the same variables:
x - 4 = 60
Adding 4 to Both Sides
To isolate x, we can add 4 to both sides of the equation:
x = 64
Conclusion
In this article, we discussed a math problem that involved finding a number based on a given condition. We broke down the problem step by step and provided a solution. The solution to the problem is x = 64.
Real-World Applications
This type of problem can be applied to real-world scenarios, such as finance and economics. For example, if a company has a certain amount of money in its account, and it wants to invest a portion of it in a new project, the problem can be used to determine how much money the company should invest.
Tips and Tricks
When solving math problems like this, it's essential to follow the order of operations (PEMDAS):
- Parentheses: Evaluate expressions inside parentheses first.
- Exponents: Evaluate any exponential expressions next.
- Multiplication and Division: Evaluate multiplication and division operations from left to right.
- Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.
By following these steps, you can ensure that you are solving the problem correctly and efficiently.
Common Mistakes to Avoid
When solving math problems like this, it's essential to avoid common mistakes, such as:
- Not following the order of operations (PEMDAS)
- Not simplifying the equation correctly
- Not combining like terms correctly
- Not isolating the variable correctly
By avoiding these common mistakes, you can ensure that you are solving the problem correctly and efficiently.
Final Thoughts
Introduction
In our previous article, we discussed a math problem that involved finding a number based on a given condition. The problem states that one fourth of a number exceeds one fifth of a succeeding number by 3. We broke down the problem step by step and provided a solution. In this article, we will answer some frequently asked questions related to the problem.
Q&A
Q: What is the problem asking for?
A: The problem is asking for a number that, when one fourth of it is subtracted from one fifth of the next number, the result is 3.
Q: How do I simplify the equation?
A: To simplify the equation, you need to find a common denominator. In this case, the common denominator is 20. You can rewrite the equation as:
(5/20)x - (4/20)(x+1) = 3
Then, you can multiply both sides by 20 to eliminate the fractions.
Q: What is the order of operations (PEMDAS)?
A: The order of operations (PEMDAS) is a set of rules that tells you which operations to perform first when you have multiple operations in an expression. The acronym PEMDAS stands for:
- Parentheses: Evaluate expressions inside parentheses first.
- Exponents: Evaluate any exponential expressions next.
- Multiplication and Division: Evaluate multiplication and division operations from left to right.
- Addition and Subtraction: Finally, evaluate any addition and subtraction operations from left to right.
Q: What are some common mistakes to avoid when solving math problems like this?
A: Some common mistakes to avoid when solving math problems like this include:
- Not following the order of operations (PEMDAS)
- Not simplifying the equation correctly
- Not combining like terms correctly
- Not isolating the variable correctly
Q: How do I know if I have solved the problem correctly?
A: To ensure that you have solved the problem correctly, you can:
- Check your work by plugging the solution back into the original equation.
- Use a calculator to check your solution.
- Ask a teacher or tutor to review your work.
Q: What are some real-world applications of this type of problem?
A: This type of problem can be applied to real-world scenarios, such as finance and economics. For example, if a company has a certain amount of money in its account, and it wants to invest a portion of it in a new project, the problem can be used to determine how much money the company should invest.
Q: How can I practice solving math problems like this?
A: To practice solving math problems like this, you can:
- Work on practice problems from a textbook or online resource.
- Use a calculator to check your solutions.
- Ask a teacher or tutor to review your work.
- Join a study group or online community to practice solving math problems with others.
Conclusion
In this article, we answered some frequently asked questions related to the math problem that involves finding a number based on a given condition. We provided tips and tricks for solving the problem, as well as common mistakes to avoid. We also discussed real-world applications of this type of problem and provided suggestions for practicing solving math problems like this.