A number, n, is added to 15 less than 3 times itself. The result is 101. Which equation can be used to find the value of n?

3n – 15 + n = 101
3n + 15 + n = 101
3n – 15 – n = 101
3n + 15 – n = 101

1 answer

To solve the problem, we need to create an equation based on the given statement: "A number, n, is added to 15 less than 3 times itself. The result is 101."

  1. 3 times itself: This means \(3n\).
  2. 15 less than 3 times itself: This translates to \(3n - 15\).
  3. A number, n, is added to this: This means we add \(n\) to the expression \(3n - 15\).
  4. The result is 101: This indicates that the expression equals 101.

Putting it all together, we have:

\[ n + (3n - 15) = 101 \]

This simplifies to:

\[ 3n - 15 + n = 101 \]

Thus, the equation that can be used to find the value of \(n\) is:

\[ 3n - 15 + n = 101 \]

So, the correct answer is:

3n – 15 + n = 101.