Question

WORK NEEDS TO BE SHOWNTranslate the following "11 less than the quotient of a number, n, and 5 is 9." Then find the value of n.

Answer 1

The given statement is

"11 less than the quotient of a number, n, and 5 is 9."

To express this statement as an algebraic expression, we have to transform each part.

"a number" means the variable n.

"the quotient" means a fraction where n is the numerator and 5 is the denominator.

"is 9" means it's equal to 9.

"11 less" means we have to subtract 11 from the fraction.

Having said that, we express the following.

`(n)/(5)-11=9`

Now, we solve for n

`\begin{gathered} (n)/(5)=9+11 \\ (n)/(5)=20 \\ n=20\cdot5 \\ n=100 \end{gathered}`

Therefore, n is 100.