Answer :
Certainly! Let's solve the problem step by step.
We are given:
A number, [tex]\( n \)[/tex], is added to 15 less than 3 times itself. The result is 101.
First, let's break it down:
1. Expression for 3 times the number:
When we say "3 times the number," we are talking about [tex]\( 3n \)[/tex].
2. 15 less than 3 times the number:
For this part, we subtract 15 from [tex]\( 3n \)[/tex], which gives [tex]\( 3n - 15 \)[/tex].
3. Adding the number, [tex]\( n \)[/tex], to the expression:
We add [tex]\( n \)[/tex] to the expression we have from above:
[tex]\[
n + (3n - 15)
\][/tex]
4. Setting the expression equal to 101:
We know this addition equals 101, so we form the equation:
[tex]\[
n + (3n - 15) = 101
\][/tex]
Simplifying the equation:
- Combine the like terms:
[tex]\( n + 3n = 4n \)[/tex]
- So the equation becomes:
[tex]\[
4n - 15 = 101
\][/tex]
The correct equation matching this setup is:
[tex]\( 3n - 15 + n = 101 \)[/tex]
Thus, the equation that can be used to find the value of [tex]\( n \)[/tex] is:
[tex]\[ 3n - 15 + n = 101 \][/tex]
We are given:
A number, [tex]\( n \)[/tex], is added to 15 less than 3 times itself. The result is 101.
First, let's break it down:
1. Expression for 3 times the number:
When we say "3 times the number," we are talking about [tex]\( 3n \)[/tex].
2. 15 less than 3 times the number:
For this part, we subtract 15 from [tex]\( 3n \)[/tex], which gives [tex]\( 3n - 15 \)[/tex].
3. Adding the number, [tex]\( n \)[/tex], to the expression:
We add [tex]\( n \)[/tex] to the expression we have from above:
[tex]\[
n + (3n - 15)
\][/tex]
4. Setting the expression equal to 101:
We know this addition equals 101, so we form the equation:
[tex]\[
n + (3n - 15) = 101
\][/tex]
Simplifying the equation:
- Combine the like terms:
[tex]\( n + 3n = 4n \)[/tex]
- So the equation becomes:
[tex]\[
4n - 15 = 101
\][/tex]
The correct equation matching this setup is:
[tex]\( 3n - 15 + n = 101 \)[/tex]
Thus, the equation that can be used to find the value of [tex]\( n \)[/tex] is:
[tex]\[ 3n - 15 + n = 101 \][/tex]
