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velikii [3]
1 year ago
14

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

Mathematics
1 answer:
boyakko [2]1 year ago
6 0

Answer:

  • $500

Step-by-step explanation:

<h3>Given</h3>
  • 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
<h3>To find</h3>
  • Love seat = ?
<h3>Solution</h3>

<u>Equations as per given are:</u>

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

<u>Subtract equation 1 from equation 3:</u>

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

<u>Considering this in the equation 2:</u>

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

<u>Substituting s in the equation 1:</u>

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

<u>Answer:</u> Love seat costs $500

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