As given by the question
There are given that the value:
[tex]\begin{gathered} \text{Green bottle: 8}\frac{3}{5}=\frac{43}{5} \\ \text{Blue bottle: 8}\frac{6}{7}=\frac{62}{7} \end{gathered}[/tex]Now,
We can write both color of bottle:
For the green bottle:
[tex]\begin{gathered} \frac{43}{5}=\frac{43}{5}\times\frac{7}{7} \\ =\frac{301}{35}\ldots(1) \end{gathered}[/tex]And,
For the blue bottle:
[tex]\begin{gathered} \frac{62}{7}=\frac{62}{7}\times\frac{5}{5} \\ =\frac{310}{35}\ldots(2) \end{gathered}[/tex]Then,
Copare the value of both of the bottle:
So,
[tex]\begin{gathered} \frac{301}{35}<\frac{310}{35} \\ 301<310 \end{gathered}[/tex]Hence, the answer is the blue bottle will hold more.