Solution : Find the weight of all animals - Art Of Mathematics

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Weight of animals

Solution

Let :

C : Cat weight

M : Mouse weight

D : Dog weight

Now, using pictures above we have :

C + M = 10 (1)

D + M = 20 (2)

D + C = 24 (3)

(2) – (1) :

D + M – C – M = 20 – 10

D – C = 10 (4)

(3) + (4) :

D + C + D – C = 24 + 10

2D = 34

D = 17 (5)

(1) + (5) :

C + M + D = 27

The weight of all animals is 27 kg

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What is the weight of all animals ?

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