Factory and divisions

The factory consists of three auxiliary divisions total of 2,406 employees. The second division has 76 employees less than the 1st division, and the 3rd division has 212 employees more than the 2nd. How many employees have each division?

Correct answer:

a =  782
b =  706
c =  918

Step-by-step explanation:

b = a - 76
c = b + 212

a+b+c = 2406
a-b = 76
b-c = -212

a = 782
b = 706
c = 918

Our linear equations calculator calculates it.

Did you find an error or inaccuracy? Feel free to write us. Thank you!


Tips to related online calculators
Do you have a system of equations and looking for calculator system of linear equations?

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

Related math problems and questions:

  • Boxes
    krabice 200 boxes have been straightened in three rows. The first was 13 more than in the second, and in the second was one fifth more than in the third one. How many boxes are in each row?
  • Schools
    bulb2 Three schools are attended by 678 pupils. To the first attend 21 students more and to the third 108 fewer students than to second school. How many students attend the schools?
  • Stamps and albums
    stamp Michail has in three albums stored 170 stamps. In the first album, there are 14 more than in the second and in the second is by 1/5 less than in the third. How many stamps are in the first album?
  • Boys and money
    money 270 USD boys divided so that Peter got three times more than Paul and Ivan has 120 USD more than Paul. How much each received?
  • 1200 screws
    matica 1200 screws are to be divided into 3 groups so that in the 1st group there are 300 screws more than in the 2nd group and in the 2nd group 150 screws less than in the 3rd group. How many screws will be in each group?
  • Three granaries
    vaha Three granaries hold 7,800 metric cent (q) of grain. In the first, 70 tonnes of grain was more than the second and in the third it was 120 tonnes less than in the second. How many grain were in each granary?
  • Pears
    hrusky Andrew, Lenka and Rasto have together 232 pears. Lenka has 28 more than Rasto and Rasto pears have 96 more than Andrew. Determine how much each of them has pears.
  • 3 masons
    cnb Three masons received 7,700 CZK. The second half received 1/2 more than the first and third twice more than the second mason. How much they each got crowns?
  • Three friends
    pizza Divide 570 euros to three friends so that first will get 50 euros less than the second and third twice more than the first. How many euros will get everyone?
  • Percent to interval
    percent 76% is between which of the following two numbers. 1) 1/5 & 1/4. 2) 1/3 & 1/2 3) 2/3 & 7/10 4) 3/4 & 5/6
  • Chess
    sachovnica How many ways can select 4 fields on a classic chessboard with 64 fields so that fields don't have the same color?
  • Three workshops
    workers There are 2743 people working in three workshops. In the second workshop works 140 people more than in the first and in third works 4.2 times more than the second one. How many people work in each workshop?
  • Potatoes bags
    vrece_zemiakov I have three bags with 21 kg potatoes. The first bag is 5.5 kg more than in the second bag and the third is 0.5 kg more than in the second bag. Determine how many kgs of potatoes is in each bag.
  • Company and employees
    workers There are 370 employees in the company - women are 15% less than men. How many men work in the company?
  • Employees
    percent 1116 people are working in three factory halls. In the first one, there are 18% more than the third, and 60 persons more than the second. How many employees work in individual halls?
  • Factory
    factory In the factory, workers work in three shifts. The first inning operates half of all employees in the second inning and a third in third inning 200 employees. How many employees work at the factory?
  • Euros
    bicycles Peter, Jane, and Thomas have together € 550. Tomas has 20 euros more than Jane, Peter € 150 less than Thomas. Determine how much has each of them.