3) A man counted his animals, 80 heads and 260 legs (ducks and goats). how many goats are there?

• let no of ducks=d and no of goat=g
  d+g=80(heads)----------> eq 1
  each duck has 2 legs and goat has 4 legs
  2d+4g=260 and divide 2d+4g=260 by 2 we get d+2g=130 -----------> eq2
  subtract eq1 from eq2
  we get no of goats=50
  
• 10 years agoHelpfull: Yes(15) No(1)
• x is no of ducks and y is number of goats
  x+y=80
  2x+4y=260
  solving the equation we get x=30 and y=50
• 10 years agoHelpfull: Yes(4) No(1)
• G+D=160 ........[G=goat , D=duck]
  4G+2D=260......[4G=4 means 4leg of goat, 2D means 2 legs of duck]
  G=50
• 10 years agoHelpfull: Yes(2) No(1)
• goats are 50 by solving the below equation we can find answer
  2x+(80-x)4=260
  by solving we get x=30 so goats 80-x=50
• 10 years agoHelpfull: Yes(1) No(1)
• *****GUESS WORK****
  
  HENS GOAT
  50h X 2L 40h X 4L (h = HEADS,,,L=LEGS. HERE)
  100 LEGS + 160 LEGS ==260 LEGS SATISFIED..................................(SO,40 GOAT HEADS)
• 9 years agoHelpfull: Yes(1) No(0)
• Let the number of ducks be x and number of goats be y
  x + y = 80
  2x + 4y = 260
  Solving the equations we get y = 50 and x = 30
  
  Hence , no of goats is 50
• 9 years agoHelpfull: Yes(0) No(0)
• number of goats = 50
• 9 years agoHelpfull: Yes(0) No(0)
• 50 goats and 30 ducks
  50*4+30*2=260
• 7 years agoHelpfull: Yes(0) No(0)
• Let No. of Goats be x ,then number of ducks is (80-x).[Since there were 80 heads]
  therefore, 4*x +(80-x)*2=260[Since no. of legs of duck is 2 and that of goat is 4]
  therefore x=50.
• 7 years agoHelpfull: Yes(0) No(0)
• x+y=80
  2x+4y=260
  y=goat=50
• 7 years agoHelpfull: Yes(0) No(0)
• 50 hens & 30 goats
• 7 years agoHelpfull: Yes(0) No(0)
• heads be x+y=80
  legs:2x+4y=260
  from heads equation :x=80-y
  by substittng y will be 50
  ans is:50
• 6 years agoHelpfull: Yes(0) No(0)
• 50 goats are present
• 6 years agoHelpfull: Yes(0) No(0)
• assume duck=x; goats=y;
  head count x+y=80
  legs count 2x+4y=260
  by solving this ducks=30
  goats=50
• 5 years agoHelpfull: Yes(0) No(0)
• head count=80....
  legs count=260....
  then, 50 goats... 50*4=200...
• 5 years agoHelpfull: Yes(0) No(0)
• 80 HEADS X 2 LEGS (COMMON LEGS)= 160
  260-160=100
  100/2=50
  Therefore 50 goats and 30 ducks.
• 4 years agoHelpfull: Yes(0) No(0)
• let no of ducks=d and no of goat=g
  d+g=80(heads)----------> eq 1
  each duck has 2 legs and goat has 4 legs
  2d+4g=260 and divide 2d+4g=260 by 2 we get d+2g=130 -----------> eq2
  subtract eq1 from eq2
  we get no of goats=50
• 4 years agoHelpfull: Yes(0) No(0)
• 30
  Let x be the ducks then 80-x be the goats
  so, total legs=260
  therefore 2x+4(80-x)=260
  as ducks has 2 legs and goat has 4 legs.
• 4 years agoHelpfull: Yes(0) No(0)
• simply 260/2=130
  130-80=(number of four leg animals)i.e,goats
  goats=50
  total animals =80
  80-four legged animals gives two legged animals
  80-50=30
  ducks=30
  therefore Number of goats=50
• 4 years agoHelpfull: Yes(0) No(0)