Wesley worked a 53 hour week. If he gets paid $15.50 per hour, and he is paid time and a half for any overtime over a regular 40 hour work week, how much will he receive for this w... Wesley worked a 53 hour week. If he gets paid $15.50 per hour, and he is paid time and a half for any overtime over a regular 40 hour work week, how much will he receive for this week of work? Complete Niki’s time sheet and calculate how much she will earn if her hourly wage is $11.25.
Understand the Problem
The question involves calculating Wesley's total pay for a 53-hour work week at a rate of $15.50 per hour, considering overtime pay, and also analyzing Niki's time sheet to determine her earnings based on her hourly wage of $11.25. The calculation includes both standard and overtime hours.
Answer
Wesley's pay is $922.25, and Niki's pay is $405.
Answer for screen readers
Wesley's total pay for the week is $922.25, and Niki's total earnings based on her time sheet are $405.
Steps to Solve
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Calculate Wesley's Total Pay
To find Wesley's total pay for 53 hours, we need to calculate his normal pay for the first 40 hours and the overtime pay for the remaining 13 hours.
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Regular Pay: $$ 40 \text{ hours} \times 15.50 \text{ dollars/hour} = 620 \text{ dollars} $$
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Overtime Pay: Overtime is paid at 1.5 times the regular rate for hours beyond 40. $$ 15.50 \text{ dollars/hour} \times 1.5 = 23.25 \text{ dollars/hour} $$ Now calculate the pay for 13 overtime hours: $$ 13 \text{ hours} \times 23.25 \text{ dollars/hour} = 302.25 \text{ dollars} $$
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Add Regular Pay and Overtime Pay
Combine the regular pay and the overtime pay to find the total earnings for the week: $$ 620 \text{ dollars} + 302.25 \text{ dollars} = 922.25 \text{ dollars} $$
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Review Niki's Time Sheet
We'll calculate Niki's total work hours based on her time sheet provided.
- Convert the worked hours in decimal form for each day:
- Monday: 7 hours 30 minutes = 7.5 hours
- Tuesday: 6 hours 45 minutes = 6.75 hours
- Wednesday: 8 hours = 8 hours
- Thursday: 6 hours 15 minutes = 6.25 hours
- Friday: 7 hours 30 minutes = 7.5 hours
- Convert the worked hours in decimal form for each day:
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Calculate Niki's Total Pay
Sum up Niki's hours worked: $$ 7.5 + 6.75 + 8 + 6.25 + 7.5 = 36 \text{ hours} $$
Calculate her total pay: $$ 36 \text{ hours} \times 11.25 \text{ dollars/hour} = 405 \text{ dollars} $$
Wesley's total pay for the week is $922.25, and Niki's total earnings based on her time sheet are $405.
More Information
Understanding pay calculations, especially when overtime is involved, is crucial for accurate earnings. Wesley worked overtime, multiplying his typical hourly rate. Niki's pay was calculated using hours from her time sheet converted into decimal hours.
Tips
- Forgetting to multiply the overtime hours by the correct overtime rate.
- Not converting minutes to hours properly when summarizing total hours worked.
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