Question

2 lawn care companies are competing for a landscaping contract. Company A charges $250. monthly consulting fee plus $10. per square foot of landscaping, While Company B charges a $90. monthly consulting fee plus $12. per square foot of landscaping. Write an equation to represent this. For how many square feet of landscaping will the two companies charge the same amount? How much will the charge be?

Answer 1

The equations would be

Company A:
250+(10x)

Company B:
90+(12x)

80ft would cost the same. The cost would be 1,050

Answer 2

Let x be the no.of square feet for landscaping

Company A

Monthly consulting fee = $250

Cost of landscaping of 1 sq.feet = $10

Cost of landscaping of x sq.feet = $10x

So, Total charge by company A = 250+10x ---1

Company B

Monthly consulting fee = $90

Cost of landscaping of 1 sq.feet = $12

Cost of landscaping of x sq.feet = $12x

So, Total charge by company B = 90+12x ---2

Now we are supposed to find how many square feet of landscaping will the two companies charge the same amount

So, Equate 1 and 2

`250+10x=90+12x`

`160=2x`

`80=x`

So, the two companies charge the same amount for 80 sq.feet

Total charge by company A for 80 sq.feet = 250+10(80)= $1050

Total charge by company B for 80 sq.feet = 90+12(90)=$1170