Answer :
To solve the problem, we need to create an equation based on the given information:
1. We have a number, [tex]\( n \)[/tex].
2. The phrase "15 less than 3 times itself" means we take 3 times the number [tex]\( n \)[/tex] and subtract 15. Therefore, this can be expressed as [tex]\( 3n - 15 \)[/tex].
3. We are told that [tex]\( n \)[/tex] is added to this expression. So, we add [tex]\( n \)[/tex] to [tex]\( 3n - 15 \)[/tex], which gives us [tex]\( n + (3n - 15) \)[/tex].
4. The result of this addition is 101. Thus, the equation represents this:
[tex]\[
n + (3n - 15) = 101
\][/tex]
5. Simplify the left side of the equation:
- Combine like terms: [tex]\( n + 3n = 4n \)[/tex].
- The simplified expression becomes [tex]\( 4n - 15 \)[/tex].
6. Now, the equation is:
[tex]\[
4n - 15 = 101
\][/tex]
Looking through the options provided:
- [tex]\( 3n - 15 + n = 101 \)[/tex] correctly represents the simplified form after combining terms as [tex]\( 4n - 15 = 101 \)[/tex].
Thus, the equation that can be used to find the value of [tex]\( n \)[/tex] is:
[tex]\[ 3n - 15 + n = 101 \][/tex]
1. We have a number, [tex]\( n \)[/tex].
2. The phrase "15 less than 3 times itself" means we take 3 times the number [tex]\( n \)[/tex] and subtract 15. Therefore, this can be expressed as [tex]\( 3n - 15 \)[/tex].
3. We are told that [tex]\( n \)[/tex] is added to this expression. So, we add [tex]\( n \)[/tex] to [tex]\( 3n - 15 \)[/tex], which gives us [tex]\( n + (3n - 15) \)[/tex].
4. The result of this addition is 101. Thus, the equation represents this:
[tex]\[
n + (3n - 15) = 101
\][/tex]
5. Simplify the left side of the equation:
- Combine like terms: [tex]\( n + 3n = 4n \)[/tex].
- The simplified expression becomes [tex]\( 4n - 15 \)[/tex].
6. Now, the equation is:
[tex]\[
4n - 15 = 101
\][/tex]
Looking through the options provided:
- [tex]\( 3n - 15 + n = 101 \)[/tex] correctly represents the simplified form after combining terms as [tex]\( 4n - 15 = 101 \)[/tex].
Thus, the equation that can be used to find the value of [tex]\( n \)[/tex] is:
[tex]\[ 3n - 15 + n = 101 \][/tex]
