Emily purchased a couch, loveseat, in the chair for $2000. The Loveseat cost twice as much as the chair, and the couch cost $600 more than the love seat. Find the cost of the couch, loveseat, and chair.

Chair $280

Loveseat $560

Couch $ 1,160

Step-by-step explanation:

chair = x

loveseat=2x

couch = 2x + 600

x + 2x + 2x + 600 = 2000

5x + 600 = 2000 subtract 600 from both sides

5x = 1400 divide by 5

x = $280

Chair is the value of x = $280

Loveseat is twice the value of x = 2 x $280 = $560

Couch is twice the value of x plus $600 = $560 + $600