Amount of lemonade in each pitcher = Seven quarters = [tex]\frac{7}{4}[/tex] gallons
We have to determine the amount of lemonade in 5 and 1/2 pictures.
First, we will determine the amount of lemonade in 5 pitchers.
So, Amount of lemonade in 5 pitchers = [tex]\frac{7}{4} \times 5[/tex] = [tex]\frac{35}{4}[/tex] gallons.
Now, we will calculate the amount of lemonade in half of the pitcher = [tex]\frac{7}{4} \times \frac{1}{2}[/tex] = [tex]\frac{7}{8}[/tex] gallons
Total amount of lemonade in 5 and half a pitcher = [tex]\frac{35}{4} + \frac{7}{8}[/tex]
LCM of 4 and 8 is '8'.
= [tex]\frac{70+7}{8}[/tex]
= [tex]\frac{77}{8}[/tex] gallons.
Therefore, the total amount of lemonade in 5 and 1/2 pictures = [tex]\frac{77}{8}[/tex] gallons = [tex]9 \frac{5}{8}[/tex] gallons.
