Question

A house sold for $34,500, which was 9% more than the cost of the house. The cost of the house was most nearly:

Answer 1

The cost of the house is most nearly $31,651.38.

Step-by-step explanation:

To find the cost of the house, we need to determine the original price before the 9% increase. Let's assume the original cost is x. Since the house was sold for $34,500, which was 9% more than the cost, we can write the equation:

x + 0.09x = $34,500

Combining like terms, we have:

1.09x = $34,500

To isolate x, we divide both sides of the equation by 1.09:

x = $34,500 / 1.09

Simplifying the calculation, we find:

x ≈ $31,651.38

Therefore, the cost of the house was most nearly $31,651.38.