Five times a number is 375. What is the number?
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:
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!
Well, using algebra for these kind of problems might save you more time than guessing! So let's start, shall we?
Now, lets leave
So our answer is
There, now we have our final answer!
My source is my mind!