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6 July, 04:17

Singh works at a restaurant where he is paid by the hour plus time-and-a-half for his hours over 40. Last week he worked 3 hours overtime and his gross pay was $380.48. What is his hourly wage?

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  1. 6 July, 05:15
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    The hourly wage is $8.55 per hour

    Step-by-step explanation:

    Step 1: Determine the expression for the gross pay

    Total gross pay = (Unit rate per hour*number of hours (≤40)) + (Overtime rate*number of overtime hours)

    where;

    Total gross pay=$380.48

    Unit rate per hour=x

    Number of hours=40 hours

    Overtime rate=x * (1 1/2) = 1.5 x

    Number of overtime hours=3 hours

    Step 2: Replace to solve for hourly wage

    380.48 = (x*40) + (1.5 x) * 3

    40 x+4.5 x=380.48

    44.5 x=380.48

    x=380.48/44.5

    x=8.55

    The hourly wage is $8.55 per hour
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