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Abe, a plumber, charges $50 per hour plus $75 for making an in-home visit. The Plumbing Service charges $65 per hour but no set fee for a visit.How many hours of pluming work are needed for each to cost the same?



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Verified Answer :

x- amount of hours
50x+75=65x
15x=75    /15
x= 5

Answer:

5 hours.

Step-by-step explanation:

Let x be the number of hours.

Abe, a plumber, charges $50 per hour plus $75 for making an in-home visit.

Cost of Abe = \(75 + 50x\)       ....(1)

The Plumbing Service charges $65 per hour but no set fee for a visit.

Cost of Abe = \(65x\)         .... (2)

We need to find the hours of pluming work are needed for each to cost the same.

From (1) and (2) we get

\(75 + 50x=65x\)

\(75=65x-50x\)

\(75=15x\)

Divide both sides by 15.

\(5=x\)

Therefore, 5 hours of pluming work are needed for each to cost the same.

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