SOLUTION: The ratio of income of two persons is 9:7. The difference in their weekly incomes is $200. What are their weekly incomes? I'm not sure how to set this up in a system of equation

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Question 557940: The ratio of income of two persons is 9:7. The difference in their weekly incomes is $200. What are their weekly incomes?
I'm not sure how to set this up in a system of equations, after i get the equation I'll be able to solve it.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
you need the constant of proportionality, k

the incomes are 9k and 7k (k does NOT stand for 1000)

9k : 7k ___ dividing by k ___ 9 : 7

"The difference in their weekly incomes is $200" ___ 9k - 7k = 200 ___ 2k = 200 ___ k = 100

9k = 900
7k = 700