SOLUTION: A sofa and loveseat are sold together for $ 1000. The loveseat is two thirds the price of the sofa. What are the prices of each?

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Question 912556: A sofa and loveseat are sold together for $ 1000. The loveseat is two thirds the price of the sofa. What are the prices of each?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
x the cost of the sofa
(2/3)x + x = $1000
2x + 3x = 3000
5x = 3000
x = $600, the cost of the sofa. Loveseat is $400 %282%2F3%29600
And...checking
sum = $1000