Question

Two lawn care companies are competing for a landscaping contract. Company A charges a $300 consulting fee plus $7 per square foot of landscaping. Company B changes a $120 consulting fee plus $13 a square foot of landscaping. For how many square feet of landscaping will the two companies charge the same amount?

Answer 1

The square feet of landscaping will the two companies carry out that enables them to charge the same amount is 30

What is the total of the landscaping contract for each company?

The total cost of the  landscaping contract for each of the two companies is the sum of the fixed consulting fee plus the multiple of variable charge per square foot multiplied by the number of square feet of landscaping

Company A:

Total cost=300+7S

S=square foot

Company B:

Total cost=120+13S

At the point where the square foot are the same they charge the same amount

300+7S=120+13S

300-120=13S-7S

180=6S

S=180/6

S=30 square foot

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