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 your earnings for a 7.5-hour shift on a Saturday with an additional 25% pay, follow these steps:

  1. Base hourly rate: $24.08.

  2. Saturday pay rate: You receive an additional 25%, so the new hourly rate on Saturday is:

    Saturday Rate=24.08+(0.25×24.08)=24.08×1.25=30.10\text{Saturday Rate} = 24.08 + (0.25 \times 24.08) = 24.08 \times 1.25 = 30.10

  3. Total earnings: Multiply the Saturday hourly rate by the number of hours worked (7.5 hours):

    Total Earnings=30.10×7.5=225.75\text{Total Earnings} = 30.10 \times 7.5 = 225.75

So, you earn $225.75 for the 7.5-hour shift on Saturday.

Do you need further details or have any questions?

Here are some related questions:

  1. What if your base pay rate increased to $26.00? What would you earn for a 7.5-hour shift on Saturday?
  2. How would the earnings change if the Saturday bonus was 50% instead of 25%?
  3. What would your total weekly earnings be if you worked 40 hours on weekdays and 7.5 hours on Saturday?
  4. If you worked only 5 hours on Saturday, how much would you earn with the 25% bonus?
  5. How would your earnings change if the Saturday shift was 10 hours instead of 7.5?

Tip: When working overtime or special pay rates, always confirm if the extra percentage is applied to base pay only or includes additional allowances.

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Math Problem Analysis

Mathematical Concepts

Arithmetic
Percentage Calculation
Multiplication

Formulas

Saturday Rate = Base Rate + (Percentage Increase × Base Rate)
Total Earnings = Saturday Rate × Hours Worked

Theorems

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Suitable Grade Level

Grades 5-7