Wages math worksheet with holiday-themed design and word problems on calculating earnings and deductions.

Let's solve each problem step by step.

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Problem 1:

If Marin earns \$58.00 after working 10 hours, what is the hourly rate?

Solution:
To find the hourly rate, divide the total earnings by the number of hours worked:
\[
\text{Hourly Rate} = \frac{\text{Total Earnings}}{\text{Hours Worked}} = \frac{58.00}{10} = 5.80
\]

Answer: \(\boxed{5.80}\)

---

Problem 2:

If Paul earns \$573.34 after deductions of \$125.86 and after working 46 hours, what is the hourly rate?

Solution:
First, calculate Paul's gross pay by adding the deductions to his net pay:
\[
\text{Gross Pay} = \text{Net Pay} + \text{Deductions} = 573.34 + 125.86 = 699.20
\]

Next, calculate the hourly rate by dividing the gross pay by the number of hours worked:
\[
\text{Hourly Rate} = \frac{\text{Gross Pay}}{\text{Hours Worked}} = \frac{699.20}{46} = 15.20
\]

Answer: \(\boxed{15.20}\)

---

Problem 3:

Audrey's gross pay is \$114.40. After deductions of 18%, what is her net pay?

Solution:
Calculate the amount deducted by multiplying the gross pay by 18% (or 0.18):
\[
\text{Deductions} = \text{Gross Pay} \times 0.18 = 114.40 \times 0.18 = 20.592
\]

Subtract the deductions from the gross pay to find the net pay:
\[
\text{Net Pay} = \text{Gross Pay} - \text{Deductions} = 114.40 - 20.592 = 93.808
\]

Round to the nearest cent:
\[
\text{Net Pay} = 93.81
\]

Answer: \(\boxed{93.81}\)

---

Problem 4:

Brian's net pay is \$100.74 after deductions of \$37.26. He makes \$13.80 per hour. How many hours did he work?

Solution:
First, calculate Brian's gross pay by adding the deductions to his net pay:
\[
\text{Gross Pay} = \text{Net Pay} + \text{Deductions} = 100.74 + 37.26 = 138.00
\]

Next, calculate the number of hours worked by dividing the gross pay by the hourly rate:
\[
\text{Hours Worked} = \frac{\text{Gross Pay}}{\text{Hourly Rate}} = \frac{138.00}{13.80} = 10
\]

Answer: \(\boxed{10}\)

---

Problem 5:

Sharon baby-sat for 22 hours over two weeks. She earned \$11.40 an hour. What was her gross pay?

Solution:
Calculate the gross pay by multiplying the number of hours worked by the hourly rate:
\[
\text{Gross Pay} = \text{Hours Worked} \times \text{Hourly Rate} = 22 \times 11.40 = 250.80
\]

Answer: \(\boxed{250.80}\)

---

Problem 6:

What is David's net pay if he earns \$8.80 for each hour worked, works 41 hours, and has payroll deductions of 25%?

Solution:
First, calculate David's gross pay by multiplying the hourly rate by the number of hours worked:
\[
\text{Gross Pay} = \text{Hourly Rate} \times \text{Hours Worked} = 8.80 \times 41 = 360.80
\]

Next, calculate the amount deducted by multiplying the gross pay by 25% (or 0.25):
\[
\text{Deductions} = \text{Gross Pay} \times 0.25 = 360.80 \times 0.25 = 90.20
\]

Subtract the deductions from the gross pay to find the net pay:
\[
\text{Net Pay} = \text{Gross Pay} - \text{Deductions} = 360.80 - 90.20 = 270.60
\]

Answer: \(\boxed{270.60}\)

---

Problem 7:

How much will Ellen earn if she earns \$13.40 for each hour worked, works 46 hours, and has payroll deductions of \$117.12?

Solution:
First, calculate Ellen's gross pay by multiplying the hourly rate by the number of hours worked:
\[
\text{Gross Pay} = \text{Hourly Rate} \times \text{Hours Worked} = 13.40 \times 46 = 616.40
\]

Next, subtract the payroll deductions from the gross pay to find the net pay:
\[
\text{Net Pay} = \text{Gross Pay} - \text{Deductions} = 616.40 - 117.12 = 499.28
\]

Answer: \(\boxed{499.28}\)

---

Problem 8:

How much will Donald earn if he earns \$11.90 per hour and works 43 hours?

Solution:
Calculate Donald's gross pay by multiplying the hourly rate by the number of hours worked:
\[
\text{Gross Pay} = \text{Hourly Rate} \times \text{Hours Worked} = 11.90 \times 43 = 511.70
\]

Since no deductions are mentioned, the gross pay is the same as the net pay.

Answer: \(\boxed{511.70}\)

---

Problem 9:

What is Allan's net pay if he earns \$14.30 for each hour worked, works eight hours, and has payroll deductions of 27%?

Solution:
First, calculate Allan's gross pay by multiplying the hourly rate by the number of hours worked:
\[
\text{Gross Pay} = \text{Hourly Rate} \times \text{Hours Worked} = 14.30 \times 8 = 114.40
\]

Next, calculate the amount deducted by multiplying the gross pay by 27% (or 0.27):
\[
\text{Deductions} = \text{Gross Pay} \times 0.27 = 114.40 \times 0.27 = 30.888
\]

Subtract the deductions from the gross pay to find the net pay:
\[
\text{Net Pay} = \text{Gross Pay} - \text{Deductions} = 114.40 - 30.888 = 83.512
\]

Round to the nearest cent:
\[
\text{Net Pay} = 83.51
\]

Answer: \(\boxed{83.51}\)

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Final Answers:

1. \(\boxed{5.80}\)
2. \(\boxed{15.20}\)
3. \(\boxed{93.81}\)
4. \(\boxed{10}\)
5. \(\boxed{250.80}\)
6. \(\boxed{270.60}\)
7. \(\boxed{499.28}\)
8. \(\boxed{511.70}\)
9. \(\boxed{83.51}\)