Answer: The answer is [tex]1\dfrac{5}{8}~\textup{lbs}.[/tex]
Step-by-step explanation: Given that Kaylen is going to mail 2 packages, where
the total weight of the packages is given by
[tex]T_w=6\dfrac{1}{8}=\dfrac{49}{8}~\textup{lbs}.[/tex]
And the weight of the first package is
[tex]f_w=4\dfrac{1}{2}=\dfrac{9}{2}~\textup{lbs}.[/tex]
Therefore, the weight of the second package will be
[tex]s_w=T_w-f_w=\dfrac{49}{8}-\dfrac{9}{2}=\dfrac{49-36}{8}=\dfrac{13}{8}=1\dfrac{5}{8}~\textup{lbs}.[/tex]
Thus, the weight is [tex]1\dfrac{5}{8}~\textup{lbs}.[/tex]