Answer :
To solve this problem step-by-step, let's analyze the given statement:
We have a number called [tex]\( n \)[/tex]. This number is added to 15 less than 3 times itself.
Let's break that down:
1. 3 times the number: That would be expressed as [tex]\( 3n \)[/tex].
2. 15 less than 3 times the number: This is expressed as [tex]\( 3n - 15 \)[/tex].
Now, according to the problem, [tex]\( n \)[/tex] is added to this expression:
- So, we have [tex]\( n + (3n - 15) \)[/tex].
The result of this addition is 101. So we set up the equation:
- [tex]\( n + (3n - 15) = 101 \)[/tex].
Next, let's simplify the expression:
1. Combine the [tex]\( n \)[/tex] terms: [tex]\( n + 3n \)[/tex] becomes [tex]\( 4n \)[/tex].
2. The equation now is: [tex]\( 4n - 15 = 101 \)[/tex].
The original equation choice that matches with this setup before simplification is:
- [tex]\( 3n - 15 + n = 101 \)[/tex].
The correct equation which can be used to find the value of [tex]\( n \)[/tex] is:
- [tex]\( 3n - 15 + n = 101 \)[/tex].
We have a number called [tex]\( n \)[/tex]. This number is added to 15 less than 3 times itself.
Let's break that down:
1. 3 times the number: That would be expressed as [tex]\( 3n \)[/tex].
2. 15 less than 3 times the number: This is expressed as [tex]\( 3n - 15 \)[/tex].
Now, according to the problem, [tex]\( n \)[/tex] is added to this expression:
- So, we have [tex]\( n + (3n - 15) \)[/tex].
The result of this addition is 101. So we set up the equation:
- [tex]\( n + (3n - 15) = 101 \)[/tex].
Next, let's simplify the expression:
1. Combine the [tex]\( n \)[/tex] terms: [tex]\( n + 3n \)[/tex] becomes [tex]\( 4n \)[/tex].
2. The equation now is: [tex]\( 4n - 15 = 101 \)[/tex].
The original equation choice that matches with this setup before simplification is:
- [tex]\( 3n - 15 + n = 101 \)[/tex].
The correct equation which can be used to find the value of [tex]\( n \)[/tex] is:
- [tex]\( 3n - 15 + n = 101 \)[/tex].
