To find the wages for 50 hours of work, including "time and a half" overtime pay after 40 hours, we need to break the problem down into several steps.
1. Determine Regular Hours and Overtime Hours:
- The total hours worked = 50 hours
- Regular hours = 40 hours
- Overtime hours = Total hours worked - Regular hours = 50 - 40 = 10 hours
2. Calculate Regular Hourly Rate:
- The money earned for 40 hours is [tex]\(\$520\)[/tex].
- Regular hourly rate = Total earnings for 40 hours / 40 hours = \[tex]$520 / 40 = \$[/tex]13.00 per hour
3. Calculate Overtime Hourly Rate:
- Overtime rate is "time and a half," which means 1.5 times the regular hourly rate.
- Overtime hourly rate = Regular hourly rate × 1.5 = \[tex]$13.00 × 1.5 = \$[/tex]19.50 per hour
4. Calculate Regular Earnings:
- Regular earnings = Regular hours × Regular hourly rate = 40 hours × \[tex]$13.00 = \$[/tex]520.00
5. Calculate Overtime Earnings:
- Overtime earnings = Overtime hours × Overtime hourly rate = 10 hours × \[tex]$19.50 = \$[/tex]195.00
6. Calculate Total Earnings:
- Total earnings = Regular earnings + Overtime earnings = \[tex]$520.00 + \$[/tex]195.00 = \[tex]$715.00
So, the wages for working 50 hours, considering the overtime pay, amounts to \(\$[/tex]715.00\).
