A farmer buys 100 animals for 100 dollars but lost his receipt. Cows are $10 each, pigs are $3 each and chicks are $.50 each. How many of each did he buy?

• Let 'x' be the number of cows, 'y' number of pigs and 'z' number of chicks he bought.
  Total number of animals is 100.
  x+y+z = 100 ---(1)
  
  Total price is 100
  10x+3y+0.50z = 100 ---(2)
  
  2*(2) - (1) gives
  19x + 5y = 100
  Since x and y are whole numbers
  ==> x = 5
  y = 1
  
  Substituting in (1)
  z = 94
  
  5 cows, 1 pig and 94 chicks.
  
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