Answer: 4 weeks
Explanation:
Let's start by setting up an equation to represent the situation:
6.8 + 4.2w = 11.2 + 3.1w
where w is the number of weeks it takes for Carly and Casey to have the same amount of money in their piggy banks.
Now we can solve for w:
6.8 + 4.2w = 11.2 + 3.1w
1.1w = 4.4
w = 4
Therefore, it will take 4 weeks for Carly and Casey to have the same amount of money in their piggy banks.