SOLUTION: A sofa and a chair cost $850 as a set. The sofa cost $200 more than twice as much as the chair. The two equations that model this situation are: S = 850 - C C = (1/2)S - 100

Algebra ->  Equations -> SOLUTION: A sofa and a chair cost $850 as a set. The sofa cost $200 more than twice as much as the chair. The two equations that model this situation are: S = 850 - C C = (1/2)S - 100       Log On


   



Question 328597: A sofa and a chair cost $850 as a set. The sofa cost $200 more than twice as much as the chair.
The two equations that model this situation are:
S = 850 - C
C = (1/2)S - 100
What is the cost of the sofa?
Cost of Sofa = $ __.00

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


I would have written



First of all, it more naturally follows the language of the problem. And second, it makes finding the solution set easier because you can just set the two expressions that are equal to equal to each other and solve for C. S follows directly.



John