It will take 6 weeks for you and your friend to have the same balance.
First, you must set up your equation, with [tex]x[/tex] representing the amount of weeks
until you and your friend have the same balance.
[tex]121+12x=91+17x[/tex]
Then, you must subtract 91 on both sides.
[tex]30+12x=17x[/tex]
Next, subtract 12x on both sides.
[tex]30=5x[/tex]
Finally, divide 5 on each side
[tex]x=6[/tex]