Jim sold a fraction of [tex]\frac{9}{12}[/tex] gallon of lemonade while Dwight sold a fraction of [tex]\frac{8}{12}[/tex] gallon of lemonade. Hence, Jim sold more lemonade than Dwight by [tex]\frac{1}{12}[/tex] gallon.
To determine the amount of gallon Dwight sold then, amount of gallon of lemonade Jim sold will be subtracted from the a mount of gallon of lemonade both persons sold i.e. [tex]\frac{17}{12}[/tex] - [tex]\frac{3}{4}[/tex] =
= [tex]\frac{7}{12}[/tex] - [tex]\frac{3}{4}[/tex] [The Lowest common denominator of 12 and 4 = 12]
= (1 x 17) – (3 x 3) /12
= (17) – (9) / 12
= 17 – 9 / 12
= [tex]\frac{8}{12}[/tex]
Thus, Dwight sold 8/12 gallon of lemonade
To determine how much Jim sold, since they jointly sold [tex]\frac{17}{12}[/tex], [tex]\frac{8}{12}[/tex] will be subtracted from [tex]\frac{17}{12}[/tex].
Therefore,
= [tex]\frac{17}{12}[/tex] - [tex]\frac{8}{12}[/tex] [The Lowest common denominator of 12 and 12 = 12]
= (1 x 17) – (1 x 8) /12
= (17) – (8) / 12
= 17 – 8 /12
= [tex]\frac{9}{12}[/tex]
Thus, Jim sold [tex]\frac{9}{12}[/tex] gallon of lemonade
To determine who sold more between the two, the values of the gallon of lemonade they each sold would be subtracted from each other. Since Jim sold [tex]\frac{9}{12}[/tex] and Dwight sold [tex]\frac{8}{12}[/tex], then [tex]\frac{9}{12}[/tex] - [tex]\frac{8}{12}[/tex]
= [tex]\frac{9}{12}[/tex] - [tex]\frac{8}{12}[/tex]
= [tex]\frac{1}{12}[/tex]
Therefore, Jim sold more gallon of lemonade than Dwight with a difference of [tex]\frac{1}{12}[/tex]
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