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- - **Number of sheeps**
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Number of sheepsA farmer rears sheep and chickens at his farm. The number of sheep is 1/3 the number of chickens. There are 96 fewer sheep legs than chicken legs. How many sheep are there at the farm? My work: Number of sheeps = S Number of Chickens = C We know that there is one third of sheeps than chickens. so, (1/3)S = C We know that there are 96 fewer sheep legs than chicken leg. so, 2C = 4S - 96 I got stuck here and couldn't get the correct answer. |

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substitute $3S$ for $C$ in the last equation ... $\displaystyle 4S = 2(3S) + 96$ solve for $S$ |

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Thank you. |

C = 3S [1] 2C - 4S = 96 [2] Substitute [1] in [2]: 2(3S) - 4S = 96 6S - 4S = 96 2S = 96 S = 48 : C = 3S = 144 I think Skeeter made a typo... ...hmmm, think I'll have a snack of chicken legs :) |

As each sheep's 4 legs are 2 fewer than 3 chickens' 6 legs, number of sheep = 96/2 = 48. |

Thank you. |

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