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?

{c=50+100tc=60+80t

{c=150tc=140t

{c=100-50tc=80-60t

{c=100+50tc=80+60t

Question

Crystal Nielsen

Mathematics

15 May, 08:00

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?

{c=50+100tc=60+80t

{c=150tc=140t

{c=100-50tc=80-60t

{c=100+50tc=80+60t

+1

Answers (1)

Know the Answer?

Howard Weber · Answer 1

The total cost that a customer should incur in its dealings with company A should be,

c = 50t + 100

For company B

c = 60t + 80

Equating these two charges

c = 50t + 100 = 60t + 80

Thus, the answer is the fourth choice.