Simultaneous Equations: Ducks and Horses Problem

Simultaneous Equations: Ducks and Horses Problem

Secondary 2

A farmer rears \(x\) ducks and \(y\) horses. If the total number of ducks and horses in the farm is \(71\) and the total number of legs is \(180\),

  1. form two simultaneous equations in \(x\) and \(y\).
  2. Solve the equations to find the number of ducks and horses the farmer rears respectively.

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Answer:(a) \(x+y=71\), \(2x+4y=180\) (b) ducks \(52\), horses \(19\)

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