Math Problem Statement

Melissa worked from the 1st May 2018, which is a Wednesday, to the 28th May 2018. How much would she be paid?

Solution

To calculate how much Melissa would be paid, we need to first break down the number of weekdays and weekends between May 1, 2018, and May 28, 2018.

  1. Identify the Days in the Period:

    • Melissa worked from May 1 (Wednesday) to May 28 (Monday), a total of 28 days.
  2. Classify Weekdays and Weekends:

    • May 1, 2018, was a Wednesday, so we begin counting from Wednesday.
    • We must calculate how many days fall on Monday to Friday (weekdays) and how many fall on Saturday to Sunday (weekends).

Step-by-Step Breakdown:

  • Week 1:

    • May 1 (Wednesday) to May 4 (Friday): 3 weekdays
    • May 5 (Saturday) and May 6 (Sunday): 2 weekend days
  • Week 2:

    • May 7 (Monday) to May 11 (Friday): 5 weekdays
    • May 12 (Saturday) and May 13 (Sunday): 2 weekend days
  • Week 3:

    • May 14 (Monday) to May 18 (Friday): 5 weekdays
    • May 19 (Saturday) and May 20 (Sunday): 2 weekend days
  • Week 4:

    • May 21 (Monday) to May 25 (Friday): 5 weekdays
    • May 26 (Saturday) and May 27 (Sunday): 2 weekend days
  • Week 5:

    • May 28 (Monday): 1 weekday

Total Days:

  • Weekdays (Monday to Friday): 3 + 5 + 5 + 5 + 1 = 19 days
  • Weekends (Saturday to Sunday): 2 + 2 + 2 + 2 = 8 days

Calculate the Pay:

  • Weekday pay: 19 days × $25/day = $475
  • Weekend pay: 8 days × $30/day = $240

Total Pay:

Total Pay=475+240=715 dollars\text{Total Pay} = 475 + 240 = 715 \text{ dollars}

So, Melissa would be paid $715.

Would you like more details on any part of the calculation?

Here are 5 related questions:

  1. How would the total change if the weekend rate increased to $35?
  2. What if Melissa took a day off on May 14? How would that affect the total?
  3. How would the payment change if May 28 fell on a weekend?
  4. Can you calculate the number of hours worked if each day was an 8-hour shift?
  5. What would happen if the workdays alternated between 4 weekdays and 3 weekends?

Tip: Always break down the problem into smaller, manageable parts, such as weekdays and weekends, for clarity in calculations.

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Math Problem Analysis

Mathematical Concepts

Basic Arithmetic
Time Calculation

Formulas

Daily wage × Number of days

Theorems

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Suitable Grade Level

Grades 6-8