Question

What is the value of "three less than the quotient of six and a number, increased by nine" when n = 3?o 2o 4o 8o 10

Answer 1

ANSWER

$8$

EXPLANATION

Let the number be n.

Let us create an expression that represents the statement:

"3 less than the quotient of 6 and a number, increased by 9".

The quotient of 6 and the number (n) is the division of 6 by n.

3 less than that implies that we subtract 3 from the result of the division.

Increasing that by 9 means adding 9 to the result of the operations above.

Hence, we can write the expression as follows:

$\frac{6}{n}-3+9$

For the number n = 3, substitute 3 for n and simplify the expression:

$\begin{gathered} \frac{6}{3}-3+9 \\ \\ 2-3+9 \\ \\ 8 \end{gathered}$

That is the answer.