Thomas works eight days per month at a company as a freelance translator, with a basic salary of 250 dollars per month and an extra amount of money for any overtime hours he works. When he worked 25 overtime hours, he was paid 637 dollars 50 at the end of the month. How much does Thomas earn for each hour of overtime that he works?
Well, the first thing we want to work out is how much does Thomas earns for overtime. And to work that out, what we’re going to do is subtract 250, because it’s the 250 dollars he got as a basic salary, away from 637 dollars 50. And that was his total pay at the end of the month. And when we do that, we get 387 dollars and 50 cents.
And we can do that using a calculator. But what I’m gonna quickly do is show you a written method as well. So for our written method, I’ve written out 637.50 minus 250.00. So what I’ve done here is made sure that each of our places are all lined up and made sure that our decimal points are lined up.
So first of all, working from the right, we have zero minus zero, which is just zero; five minus zero, which is just five. Then we have our decimal point. Then we move on to seven minus zero, which is seven.
So now if we move along, we’ve got three minus five. Well, we can’t do that without going into negatives. So what we need to do here is borrow from the hundreds. So when we do that, we have 13 minus five, which is now eight.
Now we move on to the hundreds. And we’ve got five. That’s because we had six. But we borrowed one for the tens. So we’ve got five minus two, which is three, which gives us our 387.50 or 387 dollars 50 cents. So now what we can move on to is solving the problem, because what we can do is work out the overtime rate per hour.
And to do this, what we need to do is divide the total overtime pay by the number of overtime hours that Thomas worked. So this is gonna be 387 dollars 50 divided by 25, which again we can work out using a calculator. And when we do that, we’re gonna get 15 dollars and 50 cents. So we can say that his overtime rate per hour is 15 dollars and 50 cents.
Again, what I’m gonna do though is show you a written method if you need one of those to answer a question like this. So the method I’m gonna use is the bus stop method. And I’ve done that instead of long division because we won’t need it with the value that we have here, cause 25 is quite easy to deal with. So what I’ve done is I’ve got 38750 divided by 25. That’s because I’ve taken away the decimal point for now. We’re gonna deal with that again at the end.
So first of all, we need to see how many 25s go into three. Well, this is just zero. So then we carry the three and we see how many 25s go into 38. And that is one remainder 13. So then we move along. We see how many 25s go into 137. Well, if we take a look at 25, if we have five multiplied by 25, we get 125. So therefore, we can say that 25 goes into 137 five times with a remainder of 12. So we’re then gonna carry the 12. So now we’ve got 125. We need to see how many 25s go into that. Well, we already know because we’ve just done it. So that’s going to be five because as we said there are five 25s in 125. And then, finally, 25s into zero, so this gives us zero. So we’ve got 1550.
So now let’s take a look at the original calculation. In the original calculation, we can see that we had two digits after the decimal point. So we need to have the same in our answer. So now, in our answer, we have two digits after the decimal point. So I put a decimal point in. So it gives us 15.50. So therefore, we can say that Thomas earns 15 dollars and 50 cents for each hour of overtime that he works.