Let's tackle the problem step by step.
First, let's establish the equation based on the given statement:
"Fifteen less than the product of three and a number is thirty-six."
Let the unknown number be \(\( x \)\).
According to the statement, the product of three and the unknown number is \(\( 3x \)\). Fifteen less than this product would be \(\( 3x - 15 \)\).
So, the equation set up by the statement is:
\(\[ 3x - 15 = 36 \]\)
Now we need to check which of the given statements is not true:
A. Fifteen is subtracted from the result after multiplying.
- This statement is true because after multiplying the unknown number \(\( x \)\) by 3, we are subtracting 15 as per the equation \(\( 3x - 15 \)\).
B. The final result is 36.
- This statement is true because the equation \(\( 3x - 15 = 36 \)\) states that after the subtraction, the result is indeed 36.
C. The unknown number is multiplied by 3.
- This statement is also true, as the equation \(\( 3x - 15 \)\) shows that the unknown number \(\( x \)\) is first multiplied by 3.
D. Fifteen is subtracted from 3.
- This statement is false because the problem involves subtracting 15 from \(\( 3x \)\), not from the number 3.
Thus, the statement that is not true is:
D. Fifteen is subtracted from 3.
