kaylen has 2 packages to mail. .the packages weigh 6 1/8 lbs total. If her first package weighs 4 1/2 lbs total, then how many pounds does her second package weigh?

Respuesta :

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]