Question

Melinda has $22 and plans to save $10 each week. George has $10 and plans to save $13 each week.

Answer 1

22+10x=10+13x
13x-10x=22-10
3x=12
x=4

Answer:4 weeks

Answer 2

Lets say Y is the amount they will save.
So Melinda's savings could be described by the equation Y=22+10X, where X is the number of weeks. The same goes to George, but his equation would be Y=10+13X.

To save the same amount, their equations must match:
22+10X = 10+13X
Solving this, one gets
12 = 3x
=> 4=x
So the answer is 4 weeks.