Question

Ezra is filling bottles of water to hand out during a race. Each bottle of water holds 16 ounces and he has 4,005 ounces of filtered water to divide.
Which fraction represents the amount of water remaining after Ezra has filled the maximum possible number of bottles?


Thanks

Answer 1

So just by the question, we are aware that when we divide 4,005 ounces by 16, it is not going to be a pretty number - there are going to be some left over in the form of a fraction.

First we must find out how many of these bottles can be completely filled until there is only the small fraction left that is not able to fill up a bottle. So let's divide:

$\frac{4,005}{16}=250.3125$

And now we know that 250 bottles will be filled completely. To find the amount of ounces left over, let's see how many ounces 250 bottles is:

$250*16=4,000$

There are 4,000 ounces in 250 bottles. So we need to subtract our initial amount from this known amount:

$4,005-4,000=5$

So there are only 5 ounces of water remaining after 250 bottles are completely filled. To put this into a fraction of the original amount, we just divide by the initial amount (4,005):

$\frac{5}{4,005} =\frac{1}{801}$

If the question is asking for the remainder in terms of a bottle, we just divide these 5 ounces by the 16 ounces it would take to fill this bottle:

$\frac{5}{16}$