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 how much you earn on Saturday with an additional 25% pay for a 7.5-hour shift, follow these steps:

  1. Base hourly rate = $24.08

  2. Saturday additional pay = 25% of the base hourly rate.

    To find the additional pay: Additional pay=0.25×24.08=6.02\text{Additional pay} = 0.25 \times 24.08 = 6.02

  3. Saturday hourly rate = Base rate + Additional pay: Saturday hourly rate=24.08+6.02=30.10\text{Saturday hourly rate} = 24.08 + 6.02 = 30.10

  4. Total earnings on Saturday for 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 a 7.5-hour shift on Saturday.

Would you like any further details or clarifications?

Here are 5 related questions to expand your understanding:

  1. How would your total earnings change if you worked 8 hours instead of 7.5?
  2. What would your total earnings be if the Saturday rate increase were 30% instead of 25%?
  3. If you worked 6.5 hours on Saturday, how much would you earn?
  4. How much extra do you earn on Saturday compared to a normal weekday?
  5. If you worked 7.5 hours on both Friday and Saturday, how much would you earn combined?

Tip: When calculating percentage increases, always multiply the base value by the percentage (in decimal form) to find the extra amount.

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Math Problem Analysis

Mathematical Concepts

Percentage Increase
Basic Arithmetic
Hourly Wage Calculation

Formulas

Additional Pay = Base Rate * Percentage Increase
Saturday Hourly Rate = Base Rate + Additional Pay
Total Earnings = Saturday Hourly Rate * Hours Worked

Theorems

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Suitable Grade Level

Grades 6-8