Question

Two lawn care companies are competing for a landscaping contract. Company A charges a $250 monthly consulting fee plus $10 per square foot of landscaping, whereas Company B charges a $90 monthly consulting fee plus $12 per square foot of landscaping. For how many square feet of landscaping will the two companies charge the same amount?

Answer 1

Answer: 80 sq. ft

Explanation:

Company A’s charges can be represented by the equation: 10m + 250

Company B’s charges can be represented by the equation: 12m + 90

To find when the square feet got which they have the same amount, I will set them equal to each other and solve for it.

10m+250=12m+90

-10m -10m

250=2m+90

-90 -90

160=2m divide both side by 2

80=m

For 80 square feet, both companies charge the same amount.