Transcript text: The sum of three times $n$ and 6 is 15.
Solution
Solution Steps
Solution Approach
Identify the key components of the English statement: "the sum of three times $n$ and 6 is 15."
Translate the components into mathematical terms:
"three times $n$" translates to \(3n\)
"the sum of three times $n$ and 6" translates to \(3n + 6\)
"is 15" translates to \(= 15\)
Combine these components to form the equation.
Step 1: Identify the Equation
The English statement "the sum of three times \( n \) and 6 is 15" can be translated into a mathematical equation. We express "three times \( n \)" as \( 3n \) and the entire sum as \( 3n + 6 \). Therefore, the equation can be written as:
\[
3n + 6 = 15
\]
Step 2: Write the Complete Equation
Combining the components identified, we have the complete equation:
\[
3n + 6 = 15
\]
Final Answer
The equation that represents the given statement is:
\[
\boxed{3n + 6 = 15}
\]