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 [tex]\( x \)[/tex].
According to the statement, the product of three and the unknown number is [tex]\( 3x \)[/tex]. Fifteen less than this product would be [tex]\( 3x - 15 \)[/tex].
So, the equation set up by the statement is:
[tex]\[ 3x - 15 = 36 \][/tex]
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 [tex]\( x \)[/tex] by 3, we are subtracting 15 as per the equation [tex]\( 3x - 15 \)[/tex].
B. The final result is 36.
- This statement is true because the equation [tex]\( 3x - 15 = 36 \)[/tex] 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 [tex]\( 3x - 15 \)[/tex] shows that the unknown number [tex]\( x \)[/tex] is first multiplied by 3.
D. Fifteen is subtracted from 3.
- This statement is false because the problem involves subtracting 15 from [tex]\( 3x \)[/tex], not from the number 3.
Thus, the statement that is not true is:
D. Fifteen is subtracted from 3.
