MORE OR LESS

Judy has $$20$ and is saving at a rate of $$6$ per week. Ida has $$172$ and is spending at a rate of $$4$ per week. After how many weeks will each have the same amount of money?

1. Write an equation using $x$ and $y$ for Judy and Ida. What does $x$ represent? What does $y$ represent?

2. Solve this problem using any method you choose.