Answer:
6 weeks
Explanation:
You can create linear equations to model this.
Science Club:
y = 10x + 20
Math Club:
y = 5x + 50
These can be solved using substitution:
5x + 50 = 10x + 20
-5x -5x
--------------------------
50 = 5x + 20
-20 -20
----------------------------
30 = 5x
/5 /5
------------
6 = X
Plug into one of the original equations:
y = 10x + 20
y = 10(6) + 20
y = 80
The point at which they intersect is: (6, 80)
Since X represents the number of weeks, it would be 6 weeks before they have the same balance.