Math Problem Statement

Numeracy question. 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? 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 solve this, we need to calculate the total pay for a 7.5-hour shift on a Saturday, considering the additional 25% pay per hour.

  1. Base hourly rate: 24.0824.08 dollars.
  2. Additional pay on Saturday: 25%25\% of the base rate.
  3. Total pay per hour on Saturday: Base rate + 25%25\% of the base rate.

Step-by-Step Solution:

  1. Calculate the additional 25%25\% per hour: Additional pay per hour=24.08×0.25=6.02dollars\text{Additional pay per hour} = 24.08 \times 0.25 = 6.02 \, \text{dollars}

  2. Find the total hourly rate for Saturdays: Total hourly rate on Saturday=24.08+6.02=30.10dollars\text{Total hourly rate on Saturday} = 24.08 + 6.02 = 30.10 \, \text{dollars}

  3. Calculate the total earnings for a 7.5-hour shift: Total earnings=30.10×7.5=225.75dollars\text{Total earnings} = 30.10 \times 7.5 = 225.75 \, \text{dollars}

Answer:

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

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

Related Questions:

  1. How much would you earn for an 8-hour shift on a Saturday?
  2. What is your total pay for a 40-hour week if you work one Saturday shift and the rest on weekdays?
  3. If your base hourly rate increased by 10%, how much would you earn on Saturdays?
  4. What is the total pay if you work two 7.5-hour shifts on Saturdays in a month?
  5. How does the Saturday rate compare to the regular weekday rate?

Tip: Understanding how percentages affect base rates is crucial in calculating additional earnings or discounts.

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Math Problem Analysis

Mathematical Concepts

Percentage increase
Basic multiplication
Wage calculation

Formulas

Additional pay = Base hourly rate × Percentage increase
Total hourly rate = Base hourly rate + Additional pay
Total earnings = Total hourly rate × Hours worked

Theorems

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Suitable Grade Level

Grades 6-8