As given by the question
There are given that the Jordan has 4/5 as many DVDs as Joseph.
Now,
According to the question, if Jordan has 56 DVDs
Then,
[tex]\frac{4}{5}=\frac{56}{x}[/tex]So,
[tex]\begin{gathered} \frac{4}{5}=\frac{56}{x} \\ 4x=56\times5 \\ x=\frac{56\times5}{4} \\ x=14\times5 \\ x=70 \end{gathered}[/tex]Hence, Joseph has 70 DVDs.