Question

Underground floors charge 8 dollars per square foot of wood flooring plus 150 dollars for installation woody's hardwood flooring charges 6 dollars per square foot flooring plus 200 dollars for installation at how many square feet of flooring would the companies charge the same amount for flooring write the equation for this situation show all of your work
GPT 3.5
Let's assume x represents the number of square feet of flooring.

For Underground Floors:
Charge = 8x + 150

For Woody's Hardwood Flooring:
Charge = 6x + 200

To find the point where both companies charge the same amount for flooring, we can set the two charges equal to each other and solve for x:

8x + 150 = 6x + 200

Subtract 6x from both sides:
8x - 6x + 150 = 6x - 6x + 200
2x + 150 = 200

Subtract 150 from both sides:
2x + 150 - 150 = 200 - 150
2x = 50

Divide both sides by 2:
2x/2 = 50/2
x = 25

Therefore, at 25 square feet of flooring, both companies would charge the same amount.

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