Question

there are two lawn companies company a charges a 250 monthly consulting fee plus 10$ per square foot of landscaping company b charges a 90$ monthly consulting fer plus b12 $ per square feet. for how many square feet of landscaping will the two companies charge the same amount?

Answer 1

The two companies will charge the same amount for 80 square feet of landscaping.

Explanation:

For Company A:

Total Cost A = Monthly Consulting Fee + (Cost per square foot * Square feet)

Total Cost A = 250 + (10 * x)

For Company B:

Total Cost B = Monthly Consulting Fee + (Cost per square foot * Square feet)

Total Cost B = 90 + (12 * x)

250 + 10x = 90 + 12x

Solve for "x":

250 - 90 = 12x - 10x

160 = 2x

x = 160 / 2

x = 80