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?

   Partial Answer (a):

   The equation for Judy is $y=6x+20$.
   In this equation $y$ represents the money she has and $x$ represents the number of weeks that have passed.
   Try to write your own equation for Ida.

2. Solve this problem using any method you choose.

   Hint (b):

   Try using the Equal Values Method.