the money given by joe to hector is 125$
let the hector works for x weeks,
it is given that hector earns 50$ in a week,
so the total money hector wants to save is 1100$
now
[tex]1100=50x+125[/tex]from the above inequality, we will find x
[tex]\begin{gathered} 1100-125=50x \\ 50x=975 \\ x=19.5 \end{gathered}[/tex]it means the hector will work for 20 weeks in order to earn 1100$.