A couch, a love seat, and a chair cost $1565. The couch costs twice as much as the chair, and the love seat costs $400 more than the couch. Find the cost of the love seat, the couch, and the chair.

I'm guessing you are having a problem with translating the problem into an equation you can solve. To help this what you can first do is underline the important parts of this problem. twice as much, 400 more, Lets look at this First Let the chair=x Next we know the couch cost twice as much as the chair So now we know we should let the couch=2x Lastly the love seat is 400 more than the couch. couch+400is the same thing as saying 2x+400 NOw 1565=chair(x)+couch(2x)+love seat(2x+400) So that means 1565=x+2x+2x+400 Combine like terms and you now have 1565=5x+400 Now you isolate the variable by subtracting 400 from both sides which is 1165=5x Then you divide both sides by 5 and get 223=x

Answered by kriquier | 2024-06-10

The chair costs $233, the couch costs $466, and the love seat costs $866. This is determined by setting up and solving equations based on the relationships between the costs provided in the problem. Each variable is defined, simplified, and solved step-by-step to find the individual costs.
;

Answered by kriquier | 2024-11-04