In order to solve this you need to form an equation so first, let's assign a variable.
Let's make the loser "x"
So then the winner will be "x times 5" or "5x"
The total is given to us as 750.
Putting all of this together you get: x + 5x = 750
OR loser votes + winner votes = 750
Now we just have to solve it.
Step 1: Combine the variables
6x = 750
Step 2: Divide to get x alone
x = 125
Using this information: we said earlier that x is loser votes so the loser got 125 votes.
The winner was 5x so we have to multiply 125*5.
So, the winner had 625 votes.
To CHECK OUR ANSWER
we just have to add 125+625 which in fact does give us the given total of 750.