Answer :
To find which equation represents the given problem, let's break down the statements provided:
1. Understanding the Problem Statement:
- A number [tex]\( n \)[/tex] is added to "15 less than 3 times itself."
- The result of this operation is 101.
2. Translating the Words into an Equation:
- "3 times itself" can be written as [tex]\( 3n \)[/tex].
- "15 less than 3 times itself" translates to [tex]\( 3n - 15 \)[/tex].
3. Setting Up the Equation:
- According to the problem, when [tex]\( n \)[/tex] is added to [tex]\( 3n - 15 \)[/tex], the result is 101. This can be equation as:
[tex]\[
n + (3n - 15) = 101
\][/tex]
4. Simplifying the Equation:
- Combine like terms:
[tex]\[
n + 3n - 15 = 101 \quad \Rightarrow \quad 4n - 15 = 101
\][/tex]
Given the provided multiple choice options, the equation [tex]\( 3n - 15 + n = 101 \)[/tex] matches the setup and simplification of the steps described above.
So, the correct equation to use is:
[tex]\[ 3n - 15 + n = 101 \][/tex]
This is the equation that will help find the value of [tex]\( n \)[/tex].
1. Understanding the Problem Statement:
- A number [tex]\( n \)[/tex] is added to "15 less than 3 times itself."
- The result of this operation is 101.
2. Translating the Words into an Equation:
- "3 times itself" can be written as [tex]\( 3n \)[/tex].
- "15 less than 3 times itself" translates to [tex]\( 3n - 15 \)[/tex].
3. Setting Up the Equation:
- According to the problem, when [tex]\( n \)[/tex] is added to [tex]\( 3n - 15 \)[/tex], the result is 101. This can be equation as:
[tex]\[
n + (3n - 15) = 101
\][/tex]
4. Simplifying the Equation:
- Combine like terms:
[tex]\[
n + 3n - 15 = 101 \quad \Rightarrow \quad 4n - 15 = 101
\][/tex]
Given the provided multiple choice options, the equation [tex]\( 3n - 15 + n = 101 \)[/tex] matches the setup and simplification of the steps described above.
So, the correct equation to use is:
[tex]\[ 3n - 15 + n = 101 \][/tex]
This is the equation that will help find the value of [tex]\( n \)[/tex].
