Tree pruning company a charges a one-time $100 equipment fee and charges $50 for each tree that it prunes. Tree pruning company b charges a one-time $80 equipment fee and charges $60 for each tree that it prunes. Let the variable t represent the number of trees pruned and let the variable c represent the cost. For how many pruned trees will the cost be the same for both companies? which system of equations can be used to solve this problem?.

Answers

Answer 1

Answer:

Both companies should purned 2 trees to charge the same total cost. The system of equations can be used to solved this problems are:

C = $100 + $50t = $80 + $60t

From the case, we know that each tree purning companies' total costs are:

Company A cost = $100 once equipment fee + $50 per tree

Company B cost = $80 once equipment fee + $60 per tree

We can make the equation of total cost for both companies as:

Company A

c (A) = $100 + $50t

Company B

c (B) = $80 + $60

where:

c = total cost

t = number of trees

Since we want to know the number of trees when both companies's total cost are equal, we need to make both total cost equations equals.

c (A) = c (B)

$100 + $50t = $80 + $60t

$20 = $10t

t = 2 trees

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Answers

Answer:

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Explanation:

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Answers

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