This
question becomes easier by rephrasing the sentences.
For example, "a
glass of sweet tea is 1/8 of a gallon" can also be understood as "a gallon fills 8
glasses of sweet tea".
In other words, 1 gallon = 8 glasses.
Now, Jacob has 1/4 of a gallon of sweet tea. Since 1 gallon makes 8 glasses of sweet
tea, 1/4 gallon will make 2 glasses (1/4 x 8) of sweet tea. Thus,
Jacob has 2 glasses of sweet tea.
Here are some other interesting facts
regarding the gallon and the glasses that can be prepared from it.
A gallon
has 128 oz., and hence, depending on the volume of glass, it can make a different number of
glasses of a liquid. For example, a gallon can make 8 glasses of 16-oz. volume each. It can also
make 16, 8-oz. glasses each. If the glass has a volume of 12-oz, then 10 such glasses can be
made from a gallon. Similarly, 21 glasses of 6-oz can be prepared from a gallon.
Such type of problems is useful for party planners. For example, a planner would like
to know how much of a particular drink (such as tea, coffee, juice, etc.) to order for
successfully hosting a party to be attended by a particular number of guests. Depending on the
size of the glass, the amount needed in gallons can be calculated and ordered.
Hope this helps!
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