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
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.
To find the number of square feet where the two companies would charge the same amount for flooring, we can set up an equation.
Let's assume the number of square feet of flooring is represented by 'x'.
For Underground Floors:
Cost of wood flooring per square foot = $8
Installation cost = $150
Total cost for Underground Floors = 8x + 150
For Woody's Hardwood Flooring:
Cost of wood flooring per square foot = $6
Installation cost = $200
Total cost for Woody's Hardwood Flooring = 6x + 200
To find where the two companies charge the same amount, we can set the two equations equal to each other:
8x + 150 = 6x + 200
Simplifying the equation:
8x - 6x = 200 - 150
2x = 50
Dividing both sides by 2:
x = 25
Therefore, the two companies would charge the same amount for flooring at 25 square feet.
To find the point at which both companies charge the same amount for flooring, we can set up an equation.
Let's denote the square footage of flooring as "x".
For Underground Floors, the cost of flooring is $8 per square foot, and the installation fee is $150. So the cost equation for Underground Floors would be:
Cost = 8x + 150
For Woody's Hardwood Flooring, the cost of flooring is $6 per square foot, and the installation fee is $200. So the cost equation for Woody's Hardwood Flooring would be:
Cost = 6x + 200
To find the point at which the companies charge the same amount, we need to equate the two cost equations:
8x + 150 = 6x + 200
Now, let's solve for x:
8x - 6x = 200 - 150
2x = 50
x = 50/2
x = 25
Therefore, both companies would charge the same amount for flooring when the square footage of flooring is 25.