Answer :
To solve this problem, we need to set up an equation based on the information given:
1. We are told that a number [tex]\( n \)[/tex] is being used.
2. There's a phrase "15 less than 3 times itself." Let's translate this into an expression:
- "3 times itself" means [tex]\( 3n \)[/tex].
- "15 less than 3 times itself" means [tex]\( 3n - 15 \)[/tex].
3. The problem states that when this expression is added to the number [tex]\( n \)[/tex], the result is 101. In other words:
[tex]\[
n + (3n - 15) = 101
\][/tex]
Now, let's simplify this equation:
- Combine the like terms [tex]\( n \)[/tex] and [tex]\( 3n \)[/tex]:
[tex]\[
4n - 15 = 101
\][/tex]
This is the equation that can be used to find the value of [tex]\( n \)[/tex]. None of the original answer choices match this exactly, so it's possible that there was a simplification or transcription error in stating the possible equations. The closest form from the choices, after correctly simplifying the information, aligns with:
[tex]\[
3n - 15 + n = 101
\][/tex]
This is because simplifying [tex]\( 3n - 15 + n \)[/tex] also results in [tex]\( 4n - 15 = 101 \)[/tex], which will help you find the value of [tex]\( n \)[/tex].
1. We are told that a number [tex]\( n \)[/tex] is being used.
2. There's a phrase "15 less than 3 times itself." Let's translate this into an expression:
- "3 times itself" means [tex]\( 3n \)[/tex].
- "15 less than 3 times itself" means [tex]\( 3n - 15 \)[/tex].
3. The problem states that when this expression is added to the number [tex]\( n \)[/tex], the result is 101. In other words:
[tex]\[
n + (3n - 15) = 101
\][/tex]
Now, let's simplify this equation:
- Combine the like terms [tex]\( n \)[/tex] and [tex]\( 3n \)[/tex]:
[tex]\[
4n - 15 = 101
\][/tex]
This is the equation that can be used to find the value of [tex]\( n \)[/tex]. None of the original answer choices match this exactly, so it's possible that there was a simplification or transcription error in stating the possible equations. The closest form from the choices, after correctly simplifying the information, aligns with:
[tex]\[
3n - 15 + n = 101
\][/tex]
This is because simplifying [tex]\( 3n - 15 + n \)[/tex] also results in [tex]\( 4n - 15 = 101 \)[/tex], which will help you find the value of [tex]\( n \)[/tex].
