Let x stand for rabbit. y stand for cat and z stand for dog. x + y = 10.................(i) x + z = 20.................(ii) y + z = 24.................(iii)
From eqn (i) x = 10 - y...................(iv)
Substitute eqn (iv) into eqn (ii) above
10 - y + z = 20 y - z = -10 ..................(v)
Solving eqns (iii) and (v) simultaneously y = 7..................(vi) z = 17..................(vii)
Substitute eqn (vi) into eqn (iv) x = 10 - y x = 10 - 7 x = 3....................(viii)
Taking eqn (vi) + eqn (vii) + eqn (viii)
7 + 17 + 3 = 27
Therefore the total mass of animals is 27 kg
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