Sandy decides to try golfing. she stands on the outer edge of a circular putting green. in the very centre if this putting green is the hole; it is 8m away from where she is standing. sandy is inexperienced. she hit the ball incorrectly and it veers directly to her left and travels a distance of 20m.
draw this diagram. label sandy,the hole,the ball and the distances involved.
! so much

x = # of weeks

y = total amount of money

Your savings account: $122 + $12x = y

Your friend's savings account: $92 + $17x = y

As the question suggests, we need to set both equations equal to each other.

$122 + $12x = $92 + $17x

Subtract $92 from both sides and subtract $12x from both sides.

$30 = $5x

Divide both sides by $5

6 = x

It will take 6 weeks for you and your friend to have the same balance.