Math Problem Statement

Problem 24: A company has 12 full-time employees and 8 part-time employees. The company provides a $200 bonus to full-time employees and $100 to part-time employees. What is the total Christmas bonus given by the company? Problem 25: A factory can produce 480 units per day and operates 7 days a week. How many units can it produce in one month?

Solution

Let's go through the problems shown in the image step by step:

Question 24:

A company has 12 full-time employees and 8 part-time employees. The company gives a bonus of $200 to each full-time employee and $100 to each part-time employee. What is the total Christmas bonus given by the company?

Solution:

  • Number of full-time employees: 12
  • Bonus for full-time employees: $200
  • Number of part-time employees: 8
  • Bonus for part-time employees: $100

The total bonus for full-time employees is: 12×200=240012 \times 200 = 2400

The total bonus for part-time employees is: 8×100=8008 \times 100 = 800

The total Christmas bonus is: 2400+800=32002400 + 800 = 3200

Answer: D ($3,200)


Question 25:

A factory can produce 480 units of product in one day. If the factory operates 7 days a week, how many total units of product can be produced in one month?

Solution:

  • Units produced in one day: 480
  • Days in a week: 7
  • Units produced in one week: 480×7=3360480 \times 7 = 3360

Assuming there are 4 weeks in a month, the total number of units produced in one month is: 3360×4=134403360 \times 4 = 13440

However, depending on the month’s days, an average of 30 days per month is used for a precise monthly calculation: 480×30=14400480 \times 30 = 14400

It seems there might be some confusion, so let's clarify: This answer doesn't match the options listed in the problem, so you might need to double-check or provide more information to verify the precise intent.


Would you like further details on any question? Here are five related questions for deeper exploration:

  1. How would the result change in Question 24 if the part-time bonus was doubled?
  2. What is the weekly production rate for the factory in Question 25 if it operates 5 days a week?
  3. How would the total bonus change in Question 24 if there were 15 part-time employees?
  4. How many days does the factory in Question 25 need to produce 2000 units?
  5. What would be the monthly production if the factory in Question 25 operates for only 6 days a week?

Tip: Always confirm whether the month has exactly 30 days, or adjust calculations if a different number of days is used in the month.

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Math Problem Analysis

Mathematical Concepts

Multiplication
Summation
Unit production
Bonus calculation

Formulas

Bonus = Number of Employees x Bonus per Employee
Total Production = Units per Day x Number of Days

Theorems

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Suitable Grade Level

Grades 5-7