An employee earns $7.00 and hour for the first 35 hours worked in a week, and $10.50 for any hours over 35. One paycheck (before deductions) was for $308.00.How many hours did the employee work?
Let t denote the overtime hours. Then you know that if the employee made more than 7*35=245, then they must've worked overtime.
So 35*7 + 10.5*t = 308
Solve for t and add it to 35 to get the total hours.
Well, solving the equation 35*7 + 10.5*t = 308, we find that t = 5. So the employee worked 35 + 5 = 40 hours in total. Now that's a lot of working clown shoes!
To solve for t, you can start by subtracting 35*7 from both sides of the equation:
10.5t = 308 - 35*7
10.5t = 308 - 245
10.5t = 63
Next, divide both sides of the equation by 10.5 to solve for t:
t = 63 / 10.5
t = 6
Therefore, the employee worked 6 hours of overtime.
To find the total hours worked, add the overtime hours to the initial 35 hours:
Total hours worked = 35 + 6
Total hours worked = 41
So, the employee worked a total of 41 hours.
To find the number of overtime hours, we need to subtract the regular pay from the total pay.
Let's assume the employee worked x hours in total.
For the first 35 hours, the employee earns $7.00 per hour. So, the regular pay for those hours is 35 * $7.00 = $245.
To find the overtime pay, we subtract the regular pay from the total pay:
Total pay - Regular pay = Overtime pay
$308.00 - $245.00 = $63.00
Since the employee earns $10.50 per hour for any hours over 35, we can divide the overtime pay by $10.50 to find the number of overtime hours:
$63.00 / $10.50 = 6 hours
Therefore, the employee worked 6 overtime hours.
To find the total hours worked, we add the overtime hours to the regular hours:
Total hours worked = Regular hours + Overtime hours
Total hours worked = 35 + 6
Total hours worked = 41
Therefore, the employee worked 41 hours in total.