Problema Solution

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

Answer provided by our tutors

Let

x = the cost of the couch

y = the cost of the love seat

z = the cost of the chair

x + y + z = 2000

y = 2z

x = 600 + y

........

click here to see the system of equations solved for x, y and z

........

x = $1,160

y = $560

z = $280

The cost of the couch is $1,160.

The cost of the love seat is $560.

The cost of the chair is $280.