SOLUTION: A total of 10,000 is to be divided between Sean and George, with George to receive $3000 less than Sean. How much will each receive?

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Question 333897: A total of 10,000 is to be divided between Sean and George, with George to receive $3000 less than Sean. How much will each receive?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
10,000=x+(x-3,000)
10,000=2x-3,000
2x=10,000+3,000
2x=13,000
x=13,000/2
x=6,500 Sean's share.
6,500-3,000=3,500 George's share.
Proof:
10,000=6,500+3,500
10,000=10,000