Answer:
[tex]\frac {1}{8} quarts[/tex]
Step-by-step explanation:
The question tests the concept of remainder. If the total tea serving was divided by proportion of each cup, we get full servings and if there be any remainder. For this case, the total was [tex]1\frac {3}{4}[/tex] divided into [tex]\frac {2}{7}[/tex]
First, we convert the total tea into improper fraction and it will be [tex]\frac {7}{4}[/tex] then dividing [tex]\frac {7}{4}[/tex] by [tex]\frac {2}{7}[/tex] we get
[tex](\frac {7}{4})/(\frac {2}{7})[/tex]
[tex](\frac {7}{4})\times (\frac {7}{2})=\frac {49}{8}=6\frac {1}{8}[/tex]
They had 6 servings and the remainder is [tex]\frac {1}{8}[/tex]
