Dan’s first summed job was working behind the counter at Dairy Queen. He earned double time for any hours worked over 40 in a given week. Wh

Question

Dan’s first summed job was working behind the counter at Dairy Queen. He earned double time for any hours worked over 40 in a given week. What was his standard hourly pay if during one week he worked 51 hours and earned 189.10?

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Lydia 4 months 2022-01-21T08:48:12+00:00 1 Answer 0 views 0

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    2022-01-21T08:49:33+00:00

    Answer:

    His standard pay was 3.05.

    Step-by-step explanation:

    Given:

    Dan’s first summed job was working behind the counter at Dairy Queen.

    He earned double time for any hours worked over 40 in a given week.

    If during one week he worked 51 hours and earned 189.10.

    Now, to find his standard hourly pay.

    Let his standard hourly pay be [tex]x.[/tex]

    So, the total amount worked over 40 hours in a week is = [tex]40\times x=40x.[/tex]

    As, given that he earned double time for any hours worked over 40 in a given week.

    As, in one week he worked 51 hours.

    So, the over he worked in one week = [tex]51-40=11\ hours.[/tex]

    Thus, the hourly rate = [tex]2x.[/tex]

    The money he earned for the over work = [tex]11\times 2x=22x.[/tex]

    As, given:

    If during one week he worked 51 hours and earned 189.10.

    Now, to get his standard hourly pay by putting an equation:

    [tex]40x+22x=189.10[/tex]

    [tex]62x=189.10[/tex]

    Dividing both sides by 62 we get:

    [tex]x=3.05.[/tex]

    Therefore, his standard pay was 3.05.

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