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