Company Bonus Gender Percentage

One thousand employees work in the company. At the end of the year, 10% of all men and 20% of all women received bonuses. Thus, the company rewarded 14% of the total number of employees. How many men and women work in the company?

Final Answer:

m =  600
w =  400

Step-by-step explanation:


m+w = 1000
0.10m + 0.20w = 0.14 · 1000

m+w = 1000
0.10·m + 0.20·w = 0.14 · 1000

m+w = 1000
0.1m+0.2w = 140

Row 2 - 0.099999999999994 · Row 1 → Row 2
m+w = 1000
0.1w = 40


w = 40/0.1 = 400
m = 1000-w = 1000-400 = 600

m = 600
w = 400

Our linear equations calculator calculates it.



Help us improve! If you spot a mistake, please let let us know. Thank you!







Tips for related online calculators
Our percentage calculator will help you quickly and easily solve a variety of common percentage-related problems.
Do you have a system of equations and are looking for calculator system of linear equations?

You need to know the following knowledge to solve this word math problem:

algebrabasic operations and conceptsGrade of the word problem

Related math problems and questions: