# Five times a number is 375. What is the number?

##### 2 Answers

75.

#### Explanation:

So the first part of the question: "Five times a number is 375." is actually saying: "Some number multiplied by 5 is equal to 375", which looks like this:

Which is the same as:

The second part of the problem: "What is the number?" tells us that they want us to solve for

=

Lucky for us 375 is divisible by 5 **(the divisibility rule for 5 states: any number is divisible by 5 if it ends in a 0 or 5)** which means we will get a whole number as opposed to a fraction or decimal.

We can solve this with mental math if we remember that:

and that:

If we add the 20 and the 5 together we get 25:

Now if we multiply 25 by 5 we get 125 (This is the same as adding 100 and 25!). So this means that:

This means that:

125 just so happens to be 3 times smaller than our target number:

This means that we can multiply 25 by 3 to solve for

And there you have it! I hope that helped!

#### Explanation:

Well, using algebra for these kind of problems might save you more time than guessing! So let's start, shall we?

The formula:

Now, lets leave

So our answer is

There, *now* we have our final answer!

My source is my mind!

-Moksha