Let, larger number be x and smaller number be y.
Condition 1: The summ of two numbers is 134.
It can be written as,
Condition 2: If three times the smaller number is subtracted from the larger number, the result is 18.
The equation is,
Solving equation 1 and 2,
Out the value of y=29 in equation (1),
Answer:
Larger number is x=105
Smaller number is y=29.
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:
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:
There are 4,000 ounces in 250 bottles. So we need to subtract our initial amount from this known amount:
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):
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: