A House Costs 3.5 Times as Much as the Lot. Together They Sold for $135,000. Find the Cost of Each
A house costs 3.5 times as much as the lot. Together they sold for $135,000. Find the cost of each.

Let the house cost be h, and the lot cost be l. We have the following equations:

  1. h = 3.5l
  2. h + l = 135,000
Substitute (1) into (2)
3.5l + l = 135,000

Combine like terms:
4.5l = 135,000

Divide each side by 4.5 to isolate l
l = 30,000

Substitute this back into equation (1)
h = 3.5(30,000)
h = 105,000

Sarah Jenkins

Sarah Jenkins

Senior Technology Editor & AI Specialist

Sarah Jenkins is a veteran tech journalist with over 12 years of experience covering artificial intelligence, mobile innovations, and digital ethics. Her insights have appeared in leading technology publications worldwide.

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