Question

Translate the sentence into an equation.Eight more than the quotient of a number and 3 is equal to 4.Use the variable w for the unknown number.

Answer 1

We are to translate into an equation

Eight more than the quotient of a number and 3 is equal to 4.

Let the number be w

Hence, quotient of w and 3 is

`(w)/(3)`

Therefore, eight more than the quotient of a number and 3 is equal to 4

Is given as

`(w)/(3)+8=4`

Solving for w

we have

`\begin{gathered} (w)/(3)=4-8 \\ (w)/(3)=-4 \\ w=-12 \end{gathered}`

Therefpore, the equation is

`(w)/(3)+8=4`