Question

Write and solve an equation to find the number n.

Answer 1

The required equation is $8+\dfrac{n}{3}=-2$ and the required unknown number is $n=-30$.

Given:

The statement is "Eight plus the quotient of a number and 3 is -2".

To find:

The required equation and the value of the variable $n$.

Solution:

Let $n$ be the unknown number.

Quotient of a number and 3 is $\dfrac{n}{3}$.

Eight plus the quotient of a number and 3 is $8+\dfrac{n}{3}$.

It is given that eight plus the quotient of a number and 3 is -2. So,

$8+\dfrac{n}{3}=-2$

The required equation is $8+\dfrac{n}{3}=-2$

Multiply both sides by 3.

$24+n=-6$

Subtracting 24 from both sides, we get

$24+n-24=-6-24$

$n=-30$

The required unknown number is $n=-30$.

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