Question

There are 160 animals in the barn. Some are chickens and some pigs. There are 500 legs in all. How many of each animal are there?

Answers

  1. Number of Chickens=  70
    Number of Pigs= 90
    let x represent the number of chicken and let y represent the number of pigs
    x + y= 160
    A chicken has two legs while a pig has four legs
    2x + 4y= 500
    x= 160-y
    2(160-y) + 4y= 500
    320 – 2y + 4y= 500
    320 + 2y= 500
    2y= 500-320
    2y= 180
    y= 180/2
    y= 90
    lets calculate the value of y
    x + y= 160
    x + 90= 160
    x= 160-90
    x= 70
    Hence the value of x is 70 and the value of y is 90
    There are 70 chickens and 90 pigs
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