Question

Sam's Furniture Store places the following advertisement in the local newspaper.

Write a system of equations for the three combinations of furniture. Let S represent the cost
of a sofa, let L represent the cost of a love seat, and let C represent the cost of a chair.
$1300
$1400
Soca and love
Sota and two
1300
$1600
Sota love seat
18
= 1400
= 1600
What is the price of each piece of furniture?
A sofa costs $ 166, a love seat costs $ 566 and a chair costs $ 233

Answer 1

• $500

Explanation:

Given

• Sofa = s
• Love seat = l
• Chair = c

• Sofa and love seat cost = $1300
• Sofa and 2 chairs cost = $1400
• Sofa, love seat and one chair cost = $1600

To find

• Love seat = ?

Solution

Equations as per given are:

• s + l = 1300
• s + 2c = 1400
• s + l + c = 1600

Subtract equation 1 from equation 3:

• s + l + c - s - l = 1600 - 1300
• c = 300

Considering this in the equation 2:

• s + 2*300 = 1400
• s = 1400 - 600
• s = 800

Substituting s in the equation 1:

• 800 + l = 1300
• l = 1300 - 800
• l = 500

Answer: Love seat costs $500