Question

If I had $ 256 $ fluid ounces of juice how many half gallons would I have?

Answer 1

Hint: The given question asks us to convert the one unit of measurement into the another unit of measurement. In this particular case we are actually trying to measure the volume of juice. The volume of the juice is given in fluid ounces which is also abbreviated conveniently as (fl oz). This has to be converted into the half gallon which is actually half of a gallon. The question will be done by using the formula for conversion from one form to another. The formula is ,
 $ 64{\text{ }}floz = 1{\text{ }}half\, gallon $

Complete step-by-step solution:
The following question is one of conversion from one unit to another of volume . The volume given is in the form of fluid ounces and we have to convert it into the half gallon. We will use the formula
 $ 64{\text{ }}floz = 1{\text{ }}half\, gallon $
Since $ 1floz = \dfrac{1}{{64}}half\, gallon $
We will write
 $ 256floz = \dfrac{1}{{64}} \times 256half\,gallon $
Which upon solving becomes,
 $ 256floz = 4half\,gallon $

Thus we will write that the given amount of juice is $ 4 half \,gallons $ in terms of the desired unit of conversion.

Note: When tackling the questions of this type in which we have to convert from one unit of measurement to another unit of measurement we will first express that given unit into the terms of a single unit then multiply it by the number that is asked by that value. For example we first converted the standard formula into the formula for a single fluid ounce like this
 $ 1floz = \dfrac{1}{{64}}half\, gallon $
Then we multiplied it by the number that was asked which is $ 256 $ to get our final answer.