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:
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
Let the house cost be h, and the lot cost be l. We have the following equations:
- h = 3.5l
- h + l = 135,000
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