johnsonchar503
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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?

Respuesta :

Nonicorp1

Answer:

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

adioabiola

The hourly wage of Singh at the restaurant given his gross pay is $8.55 per hour

How to find the hourly wage

  • Unit rate per hour = x

  • Total gross pay = $380.48

  • Number of hours worked = 40 hours

where;

Overtime rate = x × (1 1/2)

= 1.5x

Number of overtime hours = 3 hours

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

380.48 = (x × 40) + (1.5x × 3)

380.48 = 40x + 4.5x

380.48 = 44.5x

  • divide both sides by 44.5

x = 380.48/44.5

x = 8.55

The hourly wage is $8.55 per hour

Learn more about gross income:

https://brainly.com/question/13793671

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