Answer :
To solve the given problem, let's break down the statement step-by-step:
1. Identify the components of the problem:
- We have a number, which we'll call [tex]\( n \)[/tex].
- We need to form an expression that represents "15 less than 3 times itself."
2. Formulate the expression:
- "3 times itself" means [tex]\( 3n \)[/tex].
- "15 less than 3 times itself" means subtract 15 from [tex]\( 3n \)[/tex], which gives us [tex]\( 3n - 15 \)[/tex].
3. Add the original number to the expression:
- We take [tex]\( n \)[/tex] (the original number) and add it to the expression [tex]\( 3n - 15 \)[/tex]. So, we have [tex]\( n + (3n - 15) \)[/tex].
4. Set up the equation:
- According to the problem, adding these together gives us a result of 101. Therefore, we write the equation as:
[tex]\[
n + (3n - 15) = 101
\][/tex]
5. Simplify the equation:
- Combine like terms: [tex]\( n + 3n \)[/tex] is [tex]\( 4n \)[/tex].
- So, the equation simplifies to:
[tex]\[
4n - 15 = 101
\][/tex]
However, the question asks for the equation which can be used to find the value of [tex]\( n \)[/tex]. Based on the options, the correct one matches the formed equation:
[tex]\[
3n - 15 + n = 101
\][/tex]
Thus, the correct equation to find the value of [tex]\( n \)[/tex] is [tex]\( 3n - 15 + n = 101 \)[/tex].
1. Identify the components of the problem:
- We have a number, which we'll call [tex]\( n \)[/tex].
- We need to form an expression that represents "15 less than 3 times itself."
2. Formulate the expression:
- "3 times itself" means [tex]\( 3n \)[/tex].
- "15 less than 3 times itself" means subtract 15 from [tex]\( 3n \)[/tex], which gives us [tex]\( 3n - 15 \)[/tex].
3. Add the original number to the expression:
- We take [tex]\( n \)[/tex] (the original number) and add it to the expression [tex]\( 3n - 15 \)[/tex]. So, we have [tex]\( n + (3n - 15) \)[/tex].
4. Set up the equation:
- According to the problem, adding these together gives us a result of 101. Therefore, we write the equation as:
[tex]\[
n + (3n - 15) = 101
\][/tex]
5. Simplify the equation:
- Combine like terms: [tex]\( n + 3n \)[/tex] is [tex]\( 4n \)[/tex].
- So, the equation simplifies to:
[tex]\[
4n - 15 = 101
\][/tex]
However, the question asks for the equation which can be used to find the value of [tex]\( n \)[/tex]. Based on the options, the correct one matches the formed equation:
[tex]\[
3n - 15 + n = 101
\][/tex]
Thus, the correct equation to find the value of [tex]\( n \)[/tex] is [tex]\( 3n - 15 + n = 101 \)[/tex].
