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jasenka
2 months ago
14

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

Mathematics
1 answer:
zzz [12.3K]2 months ago
6 0

Response:

  • $500

Detailed explanation:

Let

  • Sofa = s
  • Love seat = l
  • Chair = c
  • Cost of sofa and love seat = $1300
  • Cost for sofa and two chairs = $1400
  • Cost for sofa, love seat, and one chair = $1600

To determine

  • Love seat =?

Resolution

The equations set from the given data are:

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

By subtracting equation 1 from equation 3:

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

Plugging this into equation 2:

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

Incorporating s back into equation 1:

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

Response: The cost of the love seat is $500

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