Question

A mountain cabin and an acre of land costs $30,000. If the land costs 4 times as much as the cabin, how much did each cost?

a) The cabin costs $6,000, and the land costs $24,000.
b) The cabin costs $7,500, and the land costs $22,500.
c) The cabin costs $5,000, and the land costs $25,000.
d) The cabin costs $8,000, and the land costs $20,000.

Answer 1

The cabin costs $6,000 and the land costs $24,000.

Step-by-step explanation:

Let's assume the cost of the cabin is C. According to the given information, the land costs 4 times as much as the cabin, so the cost of the land is 4C. The total cost of the cabin and land is $30,000. We can set up the equation: C + 4C = $30,000. Combining like terms, we get 5C = $30,000. Dividing both sides of the equation by 5, we find that C = $6,000. Therefore, the cabin costs $6,000 and the land costs 4 times that amount, which is $24,000.