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10 September, 08:21

The first company charges $50 for a service call, plus an additional $36 per hour for labor. The second company charges $35 for a service call, plus an additional $39 per hour of labor. At how many hours will the two companies charge the same amount of money?

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Answers (2)
  1. 10 September, 10:11
    0
    5 hours

    Step-by-step explanation:

    So what you have to do is set the two equal to one another and solve for x

    50+36x=35+39x

    -35 - 35

    15+36x=39x

    -36x - 36x

    15 = 3x

    /3 / 3

    5=x
  2. 10 September, 10:15
    0
    Answer: it would take 5 hours of labour before you pay the same amount for both companies.

    Step-by-step explanation:

    Let x represent the number of hours of labour that you pay for company A or company B

    Let y represent the total amount paid for x hours of labour at company A

    Let z represent the total amount paid for x hours of labour at company B

    company A charges $50 for a service call plus an additional $36 per hour for labor ... This means that the total amount for x hours of labour would be

    y = 36x + 50

    company B charges $35 for a service call plus an additional $39 per hour of labor. This means that the total amount for x hours would be

    z = 39x + 35

    To determine the number of hours of labour before the amount for both companies becomes the same, we would equate y to z. It becomes

    36x + 50 = 39x + 35

    39x - 36x = 50 - 35

    3x = 15

    x = 5
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