A company is looking to hire a lawyer. One law firm states that their legal fees can be determined using the expression 380x + 25000, where

Question

A company is looking to hire a lawyer. One law firm states that their legal fees can be determined using the expression 380x + 25000, where x is the number of hours of legal assistance. A second law firm states that their legal fees can be determined using the expression 440x + 17000. The company president wants to know when the legal fees would cost the same for each law firm. What number of hours of legal assistance makes the equation 380x + 25000 = 440x +17000 true? Round your answer to the nearest whole number.

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Charlie 2 weeks 2021-11-20T20:40:52+00:00 1 Answer 0

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    2021-11-20T20:42:01+00:00

    Answer:

    For x = 133 hours of legal assistance both the firms charges the same amount of legal fees.

    Step-by-step explanation:

    In LAW FIRM FIRST:

    The legal fees is of the form:

    380 x + 25000, where x is the number of hours of legal assistance.

    In LAW FIRM SECOND:

    The legal fees is of the form:

    440 x + 17000, where x is the number of hours of legal assistance.

    Now, let us assume for x working hours, both firm charges the same amount.

    380 x + 25000 = 440 x +17000

    Solving for x, we get:

    25,000  – 17,000  = 440 x  – 380 x

    or, 60 x  = 8,000

    or, x  =   8000/60 = 133.33

    or, x is approximately equal to 133 hours.

    Hence, for x = 133 hours of legal assistance both the firms charges the same amount of legal fees.

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