SOLUTION: Jim's weekly pay is two thirds of Alicia's. Together they earn $800 per week. What is each person's weekly pay?

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Question 276760: Jim's weekly pay is two thirds of Alicia's. Together they earn $800 per week. What is each person's weekly pay?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let j = Jim's weekly pay
Let a = Alicia's weekly pay
given:
a+%2B+j+=+800
j+=+%282%2F3%29%2Aa
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By substitution:
a+%2B+%282%2F3%29%2Aa+=+800
%285%2F3%29%2Aa+=+800
a+=+%283%2F5%29%2A800
a+=+480
and
a+%2B+j+=+800
j+=+800+-+480
j+=+320
Jim earns $320/wk and Alicia earns $480/wk