SOLUTION: One person owes $200 and pays back $5 per week. Another person has no money and borrows $15 per week. When will both people have the same amount of money (or debt)?

Question 1111009: One person owes $200 and pays back $5 per week. Another person has no money and borrows $15 per week. When will both people have the same amount of money (or debt)?
Found 2 solutions by josmiceli, greenestamps:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = number of weeks starting with zero
Let = current amount of money
Equation for person owing money:

Equation for borrower:

---------------------
Make equal for both

In 10 wks they will have the same amount
Get a 2nd opinion if needed

Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

One person's debt is getting smaller by $5 a week; the other person's is getting larger by $15 a week.

The difference between the amounts of the two debts is changing by $20 a week.

Then, since the difference in the two debt amounts in the beginning was $200, the number of weeks it will take for the two debts to be equal is 200/20 = 10.
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