Given Data:
The fraction of penny bank originally full was 3/10.
The fraction of penny bank which was full after 560 pennies were added was 4/5.
The fraction of penny bank which was filled by 560 pennies can be determined as,
[tex]\begin{gathered} \frac{4}{5}-\frac{3}{10}=\frac{8-3}{10} \\ =\frac{5}{10} \\ =\frac{1}{2} \end{gathered}[/tex]1/2 is eqivalent to 560 pennies, Full penny bank is equivalent to,
[tex]\begin{gathered} \frac{560}{\frac{1}{2}}=560\times2 \\ =1120 \end{gathered}[/tex]Thus, penny bank can hold 1120 pennies.