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 calculate your total earnings for a 7.5-hour shift on Saturday, we can follow these steps:

  1. Find the Saturday hourly rate: You are paid an additional 25% on your base hourly rate. So, the hourly rate on Saturday is:

    Saturday rate=Base rate+25%×Base rate\text{Saturday rate} = \text{Base rate} + 25\% \times \text{Base rate}

    Saturday rate=24.08+(0.25×24.08)\text{Saturday rate} = 24.08 + (0.25 \times 24.08)

    Saturday rate=24.08+6.02=30.10\text{Saturday rate} = 24.08 + 6.02 = 30.10

  2. Calculate total earnings: Now, 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, your total earnings for a 7.5-hour shift on Saturday is $225.75.

Would you like more details or have any questions?

Here are 5 related questions:

  1. How would your earnings change if you worked an 8-hour shift instead?
  2. What would your pay be if the Saturday rate was increased to 30% extra?
  3. How much would you earn in total for a full 40-hour week, with a 7.5-hour shift on Saturday?
  4. What is the percentage increase in your total earnings on Saturday compared to a regular weekday?
  5. How would a 10% tax deduction affect your earnings for the Saturday shift?

Tip: Understanding percentage increases can help in calculating pay adjustments, bonuses, or price changes quickly.

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Math Problem Analysis

Mathematical Concepts

Percentage Calculation
Basic Arithmetic
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