Answer :
- Translates '15 less than 3 times itself' to $3n - 15$.
- Adds the number $n$ to the expression: $3n - 15 + n$.
- Sets the result equal to 101: $3n - 15 + n = 101$.
- The equation to find the value of $n$ is $\boxed{3 n-15+n=101}$.
### Explanation
1. Understanding the Problem
Let's break down the problem step by step to form the correct equation.
2. Expressing '15 less than 3 times itself'
We are given that a number, denoted by $n$, is added to '15 less than 3 times itself'. This can be written as $3n - 15$.
3. Adding the number n
The problem states that the number $n$ is added to this expression, so we have $n + (3n - 15)$, which simplifies to $3n - 15 + n$.
4. Forming the equation
Finally, we are told that the result of this addition is 101. Therefore, the equation is $3n - 15 + n = 101$.
### Examples
This type of problem is useful in many real-life situations. For example, imagine you are calculating the total cost of items you are purchasing. If one item costs '15 less than 3 times the price of another item', and you want the total cost to be a specific amount, you would use a similar equation to determine the price of each item. This skill is helpful in budgeting, shopping, and financial planning.
- Adds the number $n$ to the expression: $3n - 15 + n$.
- Sets the result equal to 101: $3n - 15 + n = 101$.
- The equation to find the value of $n$ is $\boxed{3 n-15+n=101}$.
### Explanation
1. Understanding the Problem
Let's break down the problem step by step to form the correct equation.
2. Expressing '15 less than 3 times itself'
We are given that a number, denoted by $n$, is added to '15 less than 3 times itself'. This can be written as $3n - 15$.
3. Adding the number n
The problem states that the number $n$ is added to this expression, so we have $n + (3n - 15)$, which simplifies to $3n - 15 + n$.
4. Forming the equation
Finally, we are told that the result of this addition is 101. Therefore, the equation is $3n - 15 + n = 101$.
### Examples
This type of problem is useful in many real-life situations. For example, imagine you are calculating the total cost of items you are purchasing. If one item costs '15 less than 3 times the price of another item', and you want the total cost to be a specific amount, you would use a similar equation to determine the price of each item. This skill is helpful in budgeting, shopping, and financial planning.
