Answer :
We will solve as follows:
*We transform the total number of the batch to just a fraction as follows:
[tex]27\frac{5}{8}=\frac{216}{8}+\frac{5}{8}=\frac{221}{8}[/tex]So, she made 221/8 quarts of fruit punch. If each container can hold 7/8 of a quart, then we calculate as follows:
[tex]x=\frac{(\frac{221}{8})}{(\frac{7}{8})}\Rightarrow x=\frac{221}{7}[/tex]Now, we extract an integer:
[tex]\frac{217}{7}+\frac{4}{7}=31\frac{4}{7}[/tex]So, the solution is D.