Question

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?

PLEASE HELP!!

Answer 1

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

Answer 2

5 hours.

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.