1200 screws

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?

Correct answer:

a =  550
b =  250
c =  400

Step-by-step explanation:


a+b+c=1200
a = 300+b
b = c-150

a+b+c = 1200
a-b = 300
b-c = -150

a = 550
b = 250
c = 400

Our linear equations calculator calculates it.



We will be pleased if You send us any improvements to this math problem. Thank you!



avatar




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:

  • 600 pencils
    fixy_2 600 pencils we want to be divided into three groups. The biggest groups have ten pens more than the smallest. How many ways can this be done?
  • Circus
    cirkus On the circus performance was 150 people. Men were 10 less than women and children 50 more than adults. How many children were in the circus?
  • Annual income
    income The annual income (in thousands of $) of fifteen families is 60, 80, 90, 96, 120, 150, 200, 360, 480, 520, 1060, 1200, 1450, 2500, 7200. Calculate the harmonic and geometric mean.
  • Group
    deti_skupina A group of kids wanted to ride. When the children were divided into groups of 3 children, one remain. When divided into groups of 4 children, 1 remains. When divided into groups of 6 children, 1 remains. After divided into groups of 5 children, no one lef
  • 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.
  • Diofant equation
    eq222_19 250x + 120y = 5640
  • Rings groups
    venn 27 pupils attend some group; dance group attends 14 pupils, 21 pupils sporty group and dramatic group 16 pupils. Dance and sporting attend 9 pupils, dance and drama 6 pupil, sporty and dramatic 11 pupils. How many pupils attend all three groups?
  • Three groups
    workers_2 In the company, employees are divided into three groups. In the first group, which includes 12% of the company's total number of employees, the average salary is CZK 40,000, in the second group CZK 35,000, in the third group CZK 25,000. The average salary
  • Cranberries
    vaha_22 They brought 65 kg of dried cranberries to the packing house. They made 150-gram and 200-gram packages from them. How many kilograms of cranberries did they use for the smaller 200 packages? How many 200 gram packages were there?
  • Linsys2
    linear_eq_3 Solve two equations with two unknowns: 400x+120y=147.2 350x+200y=144
  • Described
    desc_circle Calculate perimeter of the circle described by a triangle with sides 478, 255, 352.
  • Lesson exercising
    atomium The lesson of physical education, pupils are first divided into three groups so that each has the same number. The they redistributed, but into six groups. And again, it was the same number of children in each group. Finally they divided into nine equal g
  • Two groups
    skola The group of 10 girls should be divided into two groups with at least 4 girls in each group. How many ways can this be done?
  • The nuts
    oriesky There are 159 nuts in two bags, 15 more in the first than in the second, how many nuts are in the bags?
  • Motel
    motorest Three different dinners A, B, C are served in the motel. Three 20 members went to motel. Group 1 ordered dinners: A 20 members and their average dinner price in the group was CZK 200. From Group 2, they ordered a A: 10 persons, B 10 dinners, and their ave
  • Sweets
    Caramelos We want to prepare 5 kg of sweets for 150 CZK. We will mix cheaper candy: 1 kg for 120 CZK and more expensive candy: 1 kg per 240 CZK. How much of these two types of candy is necessary to prepare this mixture?
  • The dormitory
    hotel_7 The dormitory accommodates 150 pupils in 42 rooms, some of which are triple and some are quadruple. Determine how many rooms are triple and how many quadruples.