Two mechanics worked on a car. The first mechanic worked for 5 hours, and the second mechanic worked for 15 hours. Together they charged a t

Question

Two mechanics worked on a car. The first mechanic worked for 5 hours, and the second mechanic worked for 15 hours. Together they charged a total of $1800. What was the rate charged per hour by each mechanic if the sum of the two rates was $150 per hour?

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Isabelle 2 weeks 2021-10-03T20:59:45+00:00 1 Answer 0

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    2021-10-03T21:00:53+00:00

    Answer: The mechanic who worked 5 hours charged $45 per hour while the mechanic who worked for 15 hours charged $105 per hour.

    Step-by-step explanation:

    Let x be the rate of mechanic who worked 5 hours

    And y, the rate of mechanic who worked 15 hours

    Represent the question in an equation

    x + y = 150………….. equation 1

    5x + 15y = 1800……..equation 2

    x + y = 150, x = 150 -y

    Substitute the value of x into equation 2 to get y

    = 5 (150 -y) + 15y = 1800

    Then open the bracket

    750 – 5y + 15y = 1800

    750 + 10y = 1800

    10y = 1800 – 750

    10y= 1050 (divide both sides by 10)

    y = 1050/10

    y = 105

    Substitute the value of y into equation 1 to get the value of x

    x + 105 = 150

    x = 150 – 105

    x = 45

    Therefore, the mechanic who worked 5 hours charged $45 per hour while the mechanic who worked for 15 hours charged $105 per hour.

    I hope this is clear, mark as brainliest please

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45:7+7-4:2-5:5*4+35:2 =? ( )