A Number, \[$ N \$\], Is Added To 15 Less Than 3 Times Itself. The Result Is 101. Which Equation Can Be Used To Find The Value Of \[$ N \$\]?A. \[$ 3n + 15 + N = 101 \$\] B. \[$ 3n + 15 - N = 101 \$\] C. \[$ 3n -
Introduction
In mathematics, solving equations is a fundamental concept that helps us find the value of unknown variables. In this article, we will explore a problem that involves finding the value of a number, denoted as n, which is added to 15 less than 3 times itself, resulting in 101. We will analyze the given options and determine the correct equation to find the value of n.
Understanding the Problem
The problem states that a number, n, is added to 15 less than 3 times itself. This can be translated into a mathematical expression as:
n + (3n - 15) = 101
Analyzing the Options
We are given three options to choose from:
A. 3n + 15 + n = 101 B. 3n + 15 - n = 101 C. 3n - 15 - n = 101
Let's analyze each option to determine which one is correct.
Option A: 3n + 15 + n = 101
This option adds n to 3n and 15, resulting in a total of 4n + 15. However, the problem states that n is added to 15 less than 3 times itself, not 4 times itself. Therefore, this option is incorrect.
Option B: 3n + 15 - n = 101
This option subtracts n from 3n and 15, resulting in a total of 2n + 15. However, the problem states that n is added to 15 less than 3 times itself, not subtracted. Therefore, this option is also incorrect.
Option C: 3n - 15 - n = 101
This option subtracts n from 3n and adds 15, resulting in a total of 2n - 15. However, the problem states that n is added to 15 less than 3 times itself, not subtracted. But if we look closely, we can see that the equation can be rewritten as:
3n - n - 15 = 101
Which simplifies to:
2n - 15 = 101
Adding 15 to both sides of the equation gives us:
2n = 116
Dividing both sides of the equation by 2 gives us:
n = 58
Therefore, the correct equation to find the value of n is:
2n - 15 = 101
Conclusion
In conclusion, the correct equation to find the value of n is 2n - 15 = 101. This equation accurately represents the problem statement and can be solved to find the value of n. The other options, A and B, are incorrect and do not accurately represent the problem statement.
Final Answer
Introduction
In our previous article, we explored a problem that involved finding the value of a number, denoted as n, which is added to 15 less than 3 times itself, resulting in 101. We analyzed the given options and determined the correct equation to find the value of n. In this article, we will answer some frequently asked questions (FAQs) about solving for the value of n.
Q: What is the correct equation to find the value of n?
A: The correct equation to find the value of n is 2n - 15 = 101.
Q: How do I solve the equation 2n - 15 = 101?
A: To solve the equation 2n - 15 = 101, you need to add 15 to both sides of the equation, which gives you 2n = 116. Then, you need to divide both sides of the equation by 2, which gives you n = 58.
Q: What is the value of n?
A: The value of n is 58.
Q: Why is option A incorrect?
A: Option A is incorrect because it adds n to 3n and 15, resulting in a total of 4n + 15. However, the problem states that n is added to 15 less than 3 times itself, not 4 times itself.
Q: Why is option B incorrect?
A: Option B is incorrect because it subtracts n from 3n and 15, resulting in a total of 2n + 15. However, the problem states that n is added to 15 less than 3 times itself, not subtracted.
Q: What is the difference between the correct equation and the incorrect options?
A: The correct equation, 2n - 15 = 101, accurately represents the problem statement and can be solved to find the value of n. The incorrect options, A and B, do not accurately represent the problem statement and cannot be solved to find the value of n.
Q: How can I apply this concept to real-life problems?
A: This concept can be applied to real-life problems that involve solving equations and finding the value of unknown variables. For example, you may need to find the value of a variable in a mathematical model or a scientific equation.
Conclusion
In conclusion, solving for the value of n is a fundamental concept in mathematics that involves finding the value of an unknown variable. By understanding the correct equation and the incorrect options, you can apply this concept to real-life problems and solve equations to find the value of unknown variables.
Final Answer
The final answer is: