A farmer’s wife says to her husband “if we have 75 chickens, they can be fed for 20 days and if still more 100 chickens are there they can be fed for only 15 days”How many chickens does the farmer have?

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archana

  • Apr 2nd, 2006
 

No.of chicken, No.of days to serve them food are inversely proportional. x chicken->y days (x-75) ->(y+20) (x+100) -> (y-15) xy=(x-75)(y+20)=(x+100)(y-15)(x-75)(y+20)=(x+100)(y-15) =>x=5y xy=(x-75)(y+20) =>xy=xy+20x-75y-1500 =>4x-15y=300 sub x=5y => y=60 No.of chicken=x=5y=300 Ans: 300

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