Math Problem Statement

Your base hourly rate of pay is $24.08. On Saturdays, you are paid an additional 25% per hour. How much do you earn on Saturday if you work a 7.5 hour shift?

Solution

To calculate how much you earn on Saturday during a 7.5-hour shift, we'll first account for the additional 25% pay you receive on Saturdays.

Step-by-step solution:

  1. Base hourly rate: $24.08
  2. Additional 25% pay on Saturdays: 25% of 24.08=25100×24.08=0.25×24.08=6.0225\% \text{ of } 24.08 = \frac{25}{100} \times 24.08 = 0.25 \times 24.08 = 6.02
  3. Total hourly rate on Saturday: 24.08+6.02=30.10 per hour24.08 + 6.02 = 30.10 \text{ per hour}
  4. Earnings for 7.5-hour shift: 30.10×7.5=225.7530.10 \times 7.5 = 225.75

Conclusion:

You would earn $225.75 for a 7.5-hour shift on Saturday.

Would you like more details, or do you have any questions?

Here are 5 related questions for further practice:

  1. What would your earnings be for a 6-hour Saturday shift?
  2. How much extra do you earn on Saturdays compared to a regular workday for the same shift?
  3. If you worked a 10-hour shift on Saturday, what would your earnings be?
  4. What is your total weekly earnings if you work 5 days a week, 8 hours each day, and one 7.5-hour Saturday shift?
  5. How many hours would you need to work on a Saturday to earn $300?

Tip: Always double-check percentage-based calculations by multiplying the base value by the decimal form of the percentage.

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Math Problem Analysis

Mathematical Concepts

Percentage Calculations
Multiplication

Formulas

Additional pay = Base hourly rate × Percentage increase
Total hourly rate on Saturday = Base hourly rate + Additional pay
Earnings = Total hourly rate × Hours worked

Theorems

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Suitable Grade Level

Grades 6-8