Question

Question #76013

Answer 1

See explanation

Explanation:

Let's break this down word for word:

The quotient of means that there will be some sort of division going on. We can express this `"something"/"something"` for now.

a number can be a variable and expressed as `n`. Thus far, we have an expression like this:

`n/"something"`

7 is simply `7` but the phrase The quotient of a number and 7... can be expressed as

`n/7`

Lastly, is 30. The is is the same as an equal sign. So is 30 gives us:

`=30`

Thus, the entire phrase: The quotient of a number and 7 is 30 can be written as:

`n/7=30`

If we wanted to find this number, we can simply solve for `n`

`7timesn/7=30times7`

`cancel7timesn/cancel7=210`

`n=210`

We can verify this by substituting `210` for `n` in the original equation:

`210/7=30`

`30=30larr` TRUE