Let's solve this problem step by step:
Let's represent the weight of the puppy as "P" and the weight of the cat as "C".
According to the information given, the puppy weighs 20.2 kg, which can be represented as P = 20.2 kg.
The puppy is four times lighter than the cat, so we can express their weights as P = (1/4)C.
Additionally, it is mentioned that the cat is 10 times lighter than the dog, so we can express their weights as C = (1/10)D.
Now, let's combine the information and solve the equations. Substituting C in terms of D, we get P = (1/4)((1/10)D) = D/40.
Since we know P = 20.2 kg, we can solve for D: D/40 = 20.2.
Multiplying both sides of the equation by 40, we get D = 20.2 * 40 = 808 kg.
Now that we have D, we can calculate the weight of the cat: C = (1/10)D = (1/10)808 = 80.8 kg.
Therefore, the weight of the puppy (P) is 20.2 kg, and the weight of the cat (C) is 80.8 kg.
