SOLUTION: Jim's weekly pay is two thirds of Alicia's. Together they earn $600 per week. What is each person's weekly pay?

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Question 155678: Jim's weekly pay is two thirds of Alicia's. Together they earn $600 per week. What is each person's weekly pay?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let J be what Jim earns and A what Alicia earns.
1.J=%282%2F3%29A
2.J%2BA=600
Substitute eq.1 into eq. 2,
J%2BA=600
%282%2F3%29A%2BA=600
%282%2F3%29A%2B%283%2F3%29A=600
%28%282%2B3%29%2F3%29A=600
%285%2F3%29A=600
A=600%283%2F5%29
highlight%28A=360%29
From 1,
J=%282%2F3%29A
J=%282%2F3%29360
highlight%28J=240%29