A house costs 3.5 times as much as the lot. Together they sold for $135,000. Find the cost of each

Publish date: 2024-04-10
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:

  • h = 3.5l
  • 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

    ncG1vJloZrCvp2O6osDHnJylnZKntrXFjZympmeTpLquwc2iq7JnpJ2%2Fpq3DrGaaZZikwrSxjJymrKyjYoBugYytoKado2KutHnMrpqhZZGoerW0xGajqKxdqbyosdOhnKtlpJ2yunnSqKOdZZakv259km5kaWhgYrOqusNmq6GdXZi8tMCMqJ1mnZGYtW%2BFkm1m