Question

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

Explanation:

Translate "3 times itself"

The number is \(n\).
"3 times itself" is \(3n\).

Translate "15 less than 3 times itself"

"15 less than" means subtracting 15.
This is written as \(3n - 15\).

Translate "added to"

The number \(n\) is added to that expression.
This gives \((3n - 15) + n\).

Set up the equation

The result is 101.
The equation is \(3n - 15 + n = 101\).

Answer:

• (A) \(3n - 15 + n = 101\) (Correct answer)
• (B) \(3n + 15 + n = 101\)
• (C) \(3n - 15 - n = 101\)
• (D) \(3n + 15 - n = 101\)