Tina have some parrots and some cages for it. if she put 4 parrots into each cage then she will have one cage left. if she put 3 parrots into each cage then she will have one parrot left over. how many parrots and cages does she have?

• Let x nd y be the no. of parrots nd cages respectively
  Then
  y = x/4 + 1 --->(1)
  
  x = 3y + 1
  y = (x-1)/3 --->(2)
  
  Equating (1) nd (2),
  We get x = 16, y = 5
  
  No. of parrots = 16
  No. of cages = 5
• 10 years agoHelpfull: Yes(4) No(0)
• Let x = no. of parrots
  y = the cages respectively
  Then
  y = x/4 + 1 --->(1)
  
  x = 3y + 1 -----> (2)
  from (2)
  y = (x-1)/3 --->(3)
  Equating (1) and (3),
  x/4 + 1=(x-1)/3
  3(x+4)= 4(x-1)
  3x+12=4x-4
  16=x
  put x=16 in equation (1)
  y = 16/4 + 1 =4+1=5
  therefore x = 16, y = 5
  Answer :
  No. of parrots = 16
  No. of cages = 5
• 10 years agoHelpfull: Yes(1) No(0)