SOLUTION: Two similar tables and 6 similar chairs cost 6600. If the table cost 500 more than a chair, what is the cost of each?

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Question 634346: Two similar tables and 6 similar chairs cost 6600. If the table cost 500 more than a chair, what is the cost of each?
Answer by checkley79(3341) About Me  (Show Source):
You can put this solution on YOUR website!
2T+6C=6600
T=C+500
2(C+500)+6C=6600
2C+1000+6C=6600
8C=6600-1000
8C=5600
C=5600/8
C=700 COST OF EACH CHAIR.
T=700+500
T=1200 COST OF EACH TABLE.
PROOF:
2*1200+6*700=6600
2400+4200=6600
6600=6600