Question

A number is divided by 3. Then, 5 is added to the quotient, and the result is 8. What is the number?

Answer 1

`n = 9`

Explanation:

First, let's give a name to the number we are looking for and call it `n`.

So we can then write "A number is divided by 3" as `n/3`

To add `5` to the quotient would then give us the expression `n/3 + 5`

If this results in `8` we can finally write the equation we are trying to solve and solve the equation for `n` while keeping the equation balanced:

`n/3 + 5 = 8`

`n/3 + 5 - 5 = 8 - 5`

`n/3 + 0 = 3`

`n/3 = 3`

`3 * n/3 = 3 * 3`

`1n = 9`

`n = 9`