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(a) two lawn car companies are competing for a landscaping contract. company a charges $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?

Sagot :

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

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

learn more of square foot here

https://brainly.com/question/11109636

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