[tex]J=\frac{43}{12}w+1814[/tex][tex]M=\frac{25}{6}w+1744[/tex]
To determine when John (J) and Mario (M) will have theirs college funds equal:
[tex]J=M[/tex][tex]\frac{43}{12}w+1814\text{ =}\frac{25}{6}w+1744[/tex]
To determine the number of weeks we clear the variable w:
[tex]\frac{43}{12}w-\frac{25}{6}w=1744-1814[/tex][tex]-0.58w=-70[/tex][tex]w=\frac{-70}{-0.58}=120.68\approx121\text{ }[/tex]It will take 121 weeks approx.
