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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

Respuesta :

mhanifa

Answer:

  • $500

Step-by-step 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

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