Legs

In the room are four-legged chairs, three-legged stool, and all are sitted with (one) people. I counted all the leg room and there were a total of 39. How many are there chairs, stool and people?

Correct result:

x =  4
y =  3
z =  7

Solution:

39=(4+2)x+(3+2)y z=x+y  x=4;y=3 z=x+y=4+3=739 = (4+2)x+(3+2)y \ \\ z = x+y \ \\ \ \\ x=4; y = 3 \ \\ z = x+y = 4+3 = 7
z=4+3=7z=4+3=7

Try another example


Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!


Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




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

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

Next similar math problems:

  • Hotel rooms
    hotel_3 In the 45 rooms, there were 169 guests, some rooms were three-bedrooms and some five-bedrooms. How many rooms were?
  • 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.
  • At the
    family At the presentation of the travelers came three times as many men than women. When eight men left with their partners, there were five times more men than women at the presentation. How many were men and women originally?
  • Three unknowns
    matrix_1 Solve the system of linear equations with three unknowns: A + B + C = 14 B - A - C = 4 2A - B + C = 0
  • Three brothers
    family_13 The three brothers have a total of 42 years. Jan is five years younger than Peter and Peter is 2 years younger than Michael. How many years has each of them?
  • Factory and divisions
    factory_2 The factory consists of three auxiliary divisions total 2,406 employees. The second division has 76 employees less than 1st division and 3rd division has 212 employees more than the 2nd. How many employees has each division?
  • Linsys2
    linear_eq_3 Solve two equations with two unknowns: 400x+120y=147.2 350x+200y=144
  • Linear system
    vahy_eq Solve this linear system (two linear equations with two unknowns): x+y =36 19x+22y=720
  • Elimination method
    rovnice_1 Solve system of linear equations by elimination method: 5/2x + 3/5y= 4/15 1/2x + 2/5y= 2/15
  • Pears and oranges
    hrusky There are 3 times as many pears as oranges. If a group of children receives 5 oranges each, there will be no oranges left over. If the same group of children receives 8 pears each, there will be 21 pears leftover. How many children and oranges are there?
  • Balls
    kulicky Michal said to Martin: give me one ball and I'll have twice as you. Martin said: give me 4 and we will have equally. How many balls each have?
  • Two numbers
    maxwells-equation We have two numbers. Their sum is 140. One-fifth of the first number is equal to half the second number. Determine those unknown numbers.
  • The difference
    eq2 The difference of two numbers is 1375. If their exact quotient is 12. Find the two numbers
  • Trees
    jablone Along the road were planted 250 trees of two types. Cherry for 60 CZK apiece and apple 50 CZK apiece. The entire plantation cost 12,800 CZK. How many was cherries and apples?
  • Equations - simple
    linearna_1 Solve system of linear equations: x-2y=6 3x+2y=4
  • Two unknown numbers
    numbers_49 One number is 2 less than a second number. Twice the second number is 14 less than 5 times the first. Find the two numbers.
  • Linear system
    linear_eq_2 Solve a set of two equations of two unknowns: 1.5x+1.2y=0.6 0.8x-0.2y=2