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A repair service charges $45 for a house call and an additional $50 per hour of work. The formula T=45+50Hrepresents the total charge T for H hours of work. If the total bill for a customer was $270, how many hours of actual labor were there?There were____ hours of actual labor.

Sagot :

Given:

A repair service charges ​$45 for a house call and an additional ​$50 per hour of work.

the formula

[tex]T=45+50H[/tex]

represents the total charge T for H hours of work.

Required:

To find the hours if the total bill for a customer was ​$​270.

Explanation:

Here T=270$.

Now

[tex]\begin{gathered} T=45+50H \\ 270=45+50H \\ 50H=270-45 \\ 50H=225 \\ H=\frac{225}{50} \\ H=4.5\text{ hours} \end{gathered}[/tex]

Final Answer:

There were 4.5 hours of actual labor.