Math Problem Statement
A company has 13 employees. They have an average salary of 31567kr. When a new employee joins the average salary increase with 240kr. What is the new employees salary?
Solution
To solve this problem, let's break it down step by step.
Step 1: Calculate the total salary of the 13 employees
The average salary of the 13 employees is 31,567 kr. So, the total salary of all 13 employees can be calculated by multiplying the average salary by the number of employees:
Step 2: Calculate the total salary of the 14 employees after the new hire
After the new employee joins, the average salary increases by 240 kr, making the new average salary:
Now, to find the total salary of all 14 employees, multiply the new average salary by 14:
Step 3: Calculate the salary of the new employee
The salary of the new employee is the difference between the total salary of 14 employees and the total salary of the original 13 employees:
Final Answer:
The new employee's salary is 34,927 kr.
Would you like a more detailed explanation or have any further questions on this?
Here are some related questions you might find interesting:
- How would the salary change if the average salary increased by 500 kr instead of 240 kr?
- What would the new average salary be if 2 new employees were hired instead of 1?
- How can we calculate the average salary if we know the total salary and number of employees?
- What is the impact on the average salary if the highest and lowest salaries are significantly different?
- How do you handle a situation where an employee's salary is negative or zero?
Tip: When working with averages and totals, it’s useful to remember that the total salary is simply the average salary multiplied by the number of employees. This relationship helps you quickly calculate and solve problems involving changes to averages.
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Math Problem Analysis
Mathematical Concepts
Average
Algebra
Salary Calculation
Formulas
Total Salary = Average Salary × Number of Employees
New Average Salary = Old Average Salary + Increase
New Employee's Salary = Total Salary of New Employees - Total Salary of Original Employees
Theorems
Basic Arithmetic and Algebra
Suitable Grade Level
Grades 6-8