A construction worker worked 30 hours and earned $504,which included some compensation for paid time off.If his true hourly wage is $4 per hour more than the pay rate shown on his pay stub, what rate is shown on his pay stub?
If he received the same rate for all his 30 hours, then if his normal wage is $x/hr,
30(x+4) = 504
x = $12.80
To find the rate shown on the construction worker's pay stub, we need to follow these steps:
Step 1: Determine the compensation for paid time off
Since the worker's total earnings of $504 include compensation for paid time off, we need to subtract that amount from the total earnings to find his actual hourly wage.
Step 2: Calculate the worker's actual earnings
To calculate the worker's actual earnings, we divide the total earnings ($504) by the number of hours worked (30 hours):
Actual earnings = Total earnings ÷ Hours worked
Step 3: Calculate the true hourly wage
Since the true hourly wage is $4 more per hour than the pay rate shown on the pay stub, we need to add $4 to the worker's actual hourly wage.
Step 4: Calculate the pay rate shown on the pay stub
To find the pay rate shown on the pay stub, we need to subtract the $4 added in the previous step from the worker's true hourly wage.
Let's perform the calculations:
Step 1: Determine the compensation for paid time off
Let's assume the compensation for paid time off is X dollars.
Step 2: Calculate the worker's actual earnings
Actual earnings = Total earnings - Compensation for paid time off
Actual earnings = $504 - X
Step 3: Calculate the true hourly wage
True hourly wage = Actual earnings ÷ Hours worked
True hourly wage = ($504 - X) ÷ 30
Step 4: Calculate the pay rate shown on the pay stub
Pay rate shown on pay stub = True hourly wage - $4
Pay rate shown on pay stub = ($504 - X) ÷ 30 - $4
Therefore, the pay rate shown on the construction worker's pay stub is given by the equation: Pay rate shown on pay stub = ($504 - X) ÷ 30 - $4, where X represents the compensation for paid time off.